Mathematics

Grade10

Easy

Question

# Find the solution of quadratic equation using square roots.

## The correct answer is:

Subtracting ‘1’ from both the sides,

Taking square root on both the sides of the equation, we get

### Related Questions to study

Mathematics

### Determine the solutions of each of the quadratic equations by inspecting the graph. Give answers correct to 1 decimal place where appropriate.

The graph cuts the x-axis at x = 3 and x = 4 .so 3 and 4 are root/solution of the equation

### Determine the solutions of each of the quadratic equations by inspecting the graph. Give answers correct to 1 decimal place where appropriate.

MathematicsGrade10

The graph cuts the x-axis at x = 3 and x = 4 .so 3 and 4 are root/solution of the equation

Mathematics

### Determine the solutions of each of the quadratic equations by inspecting the graph. Give answers correct to 1 decimal place where appropriate.

The graph touches the x-axis at so , its both root would be same and that is x=6,6

### Determine the solutions of each of the quadratic equations by inspecting the graph. Give answers correct to 1 decimal place where appropriate.

MathematicsGrade10

The graph touches the x-axis at so , its both root would be same and that is x=6,6

Mathematics

### Convert the quadratic equation into factored form.

### Convert the quadratic equation into factored form.

MathematicsGrade10

Mathematics

### Write the equation (x-3)(x-4)=0 into the standard form of the quadratic equation and solve.

Given the equation (x-3)(x-4) = 0

To write it in Standard form

Step 1 :

expanding right side

(x-3)(x-4) = x.(x-4) - 3.( x-4 ) = x.x - x.4 - 3.x - 3.-4

x

Step 2 :

Adding like terms we get x

x2-7x+12=0 it , is the standard form .

To write it in Standard form

Step 1 :

expanding right side

(x-3)(x-4) = x.(x-4) - 3.( x-4 ) = x.x - x.4 - 3.x - 3.-4

x

^{2}-3x-4x+12=0Step 2 :

Adding like terms we get x

^{2}-7x+12=0x2-7x+12=0 it , is the standard form .

### Write the equation (x-3)(x-4)=0 into the standard form of the quadratic equation and solve.

MathematicsGrade10

Given the equation (x-3)(x-4) = 0

To write it in Standard form

Step 1 :

expanding right side

(x-3)(x-4) = x.(x-4) - 3.( x-4 ) = x.x - x.4 - 3.x - 3.-4

x

Step 2 :

Adding like terms we get x

x2-7x+12=0 it , is the standard form .

To write it in Standard form

Step 1 :

expanding right side

(x-3)(x-4) = x.(x-4) - 3.( x-4 ) = x.x - x.4 - 3.x - 3.-4

x

^{2}-3x-4x+12=0Step 2 :

Adding like terms we get x

^{2}-7x+12=0x2-7x+12=0 it , is the standard form .

Mathematics

### Find the option that is NOT a solution to the systems of inequalities.

Step 1 of 1:

Observe that the points (3, 1), (4, 3), and (0, 0) fall within the common shaded region of the equations.

But the option (-2, 0) is not a solution because it does not fall in the shaded region.

Final Answer:

The right choice is-- a. (-2, 0)

Observe that the points (3, 1), (4, 3), and (0, 0) fall within the common shaded region of the equations.

But the option (-2, 0) is not a solution because it does not fall in the shaded region.

Final Answer:

The right choice is-- a. (-2, 0)

### Find the option that is NOT a solution to the systems of inequalities.

MathematicsGrade10

Step 1 of 1:

Observe that the points (3, 1), (4, 3), and (0, 0) fall within the common shaded region of the equations.

But the option (-2, 0) is not a solution because it does not fall in the shaded region.

Final Answer:

The right choice is-- a. (-2, 0)

Observe that the points (3, 1), (4, 3), and (0, 0) fall within the common shaded region of the equations.

But the option (-2, 0) is not a solution because it does not fall in the shaded region.

Final Answer:

The right choice is-- a. (-2, 0)

Mathematics

### Identify the option that is a solution to the systems of inequalities.

Step 1 of 1:

Observe that the points (1, -5), (-1, 1), and (-2, 3) fall outside the common shaded region of the equations.

But the option (2, 3) is a solution because it falls in the shaded region.

Final Answer:

The right choice is-- c. (2, 3)

Observe that the points (1, -5), (-1, 1), and (-2, 3) fall outside the common shaded region of the equations.

But the option (2, 3) is a solution because it falls in the shaded region.

Final Answer:

The right choice is-- c. (2, 3)

### Identify the option that is a solution to the systems of inequalities.

MathematicsGrade10

Step 1 of 1:

Observe that the points (1, -5), (-1, 1), and (-2, 3) fall outside the common shaded region of the equations.

But the option (2, 3) is a solution because it falls in the shaded region.

Final Answer:

The right choice is-- c. (2, 3)

Observe that the points (1, -5), (-1, 1), and (-2, 3) fall outside the common shaded region of the equations.

But the option (2, 3) is a solution because it falls in the shaded region.

Final Answer:

The right choice is-- c. (2, 3)

Mathematics

### Find the option that is a solution to the systems of inequalities.

Step 1 of 1:

Observe that the points (4, 1), (-2, 2), and (3, 0) fall outside the common shaded region of the equations.

But the option (-1, -3) is a solution because it falls in the shaded region.

Final Answer:

The right choice is-- d. (-1, -3)

Observe that the points (4, 1), (-2, 2), and (3, 0) fall outside the common shaded region of the equations.

But the option (-1, -3) is a solution because it falls in the shaded region.

Final Answer:

The right choice is-- d. (-1, -3)

### Find the option that is a solution to the systems of inequalities.

MathematicsGrade10

Step 1 of 1:

Observe that the points (4, 1), (-2, 2), and (3, 0) fall outside the common shaded region of the equations.

But the option (-1, -3) is a solution because it falls in the shaded region.

Final Answer:

The right choice is-- d. (-1, -3)

Observe that the points (4, 1), (-2, 2), and (3, 0) fall outside the common shaded region of the equations.

But the option (-1, -3) is a solution because it falls in the shaded region.

Final Answer:

The right choice is-- d. (-1, -3)

Mathematics

### Identify the option that is NOT a solution to the systems of inequalities.

Step 1 of 1:

Observe that the points (-3,-1), (-5,0), and (-5,1) fall within the common shaded region of the equations.

But the option (-2, -1) is not a solution because it does not fall in the shaded region.

Final Answer:

The right choice is-- a. (-2, -1)

Observe that the points (-3,-1), (-5,0), and (-5,1) fall within the common shaded region of the equations.

But the option (-2, -1) is not a solution because it does not fall in the shaded region.

Final Answer:

The right choice is-- a. (-2, -1)

### Identify the option that is NOT a solution to the systems of inequalities.

MathematicsGrade10

Step 1 of 1:

Observe that the points (-3,-1), (-5,0), and (-5,1) fall within the common shaded region of the equations.

But the option (-2, -1) is not a solution because it does not fall in the shaded region.

Final Answer:

The right choice is-- a. (-2, -1)

Observe that the points (-3,-1), (-5,0), and (-5,1) fall within the common shaded region of the equations.

But the option (-2, -1) is not a solution because it does not fall in the shaded region.

Final Answer:

The right choice is-- a. (-2, -1)

Mathematics

### When you graph an inequality, you use a solid line to use which symbols?

Step 1 of 1:

Interpreting the concept explained under the hint section, a solid line is used to denote ≤, ≥.

Final Answer:

The right choice is-- c. ≤, ≥

Interpreting the concept explained under the hint section, a solid line is used to denote ≤, ≥.

Final Answer:

The right choice is-- c. ≤, ≥

### When you graph an inequality, you use a solid line to use which symbols?

MathematicsGrade10

Step 1 of 1:

Interpreting the concept explained under the hint section, a solid line is used to denote ≤, ≥.

Final Answer:

The right choice is-- c. ≤, ≥

Interpreting the concept explained under the hint section, a solid line is used to denote ≤, ≥.

Final Answer:

The right choice is-- c. ≤, ≥

Mathematics

### Find the option that is a solution to the systems of inequalities.

Step 1 of 1:

Observe that the points (4,-2), (0,0), and (1,1) fall outside the common shaded region of the equations.

But the option (-4, -2) is a solution because it falls in the shaded region.

Final Answer:

The right choice is-- b. (-4, -2)

Observe that the points (4,-2), (0,0), and (1,1) fall outside the common shaded region of the equations.

But the option (-4, -2) is a solution because it falls in the shaded region.

Final Answer:

The right choice is-- b. (-4, -2)

### Find the option that is a solution to the systems of inequalities.

MathematicsGrade10

Step 1 of 1:

Observe that the points (4,-2), (0,0), and (1,1) fall outside the common shaded region of the equations.

But the option (-4, -2) is a solution because it falls in the shaded region.

Final Answer:

The right choice is-- b. (-4, -2)

Observe that the points (4,-2), (0,0), and (1,1) fall outside the common shaded region of the equations.

But the option (-4, -2) is a solution because it falls in the shaded region.

Final Answer:

The right choice is-- b. (-4, -2)

Mathematics

### Rewrite this inequality in "y =" form to graph.

3x - 6y > 12

Step 1 of 1:

Given inequality 3x - 6y > 12

or, 6y < 3x - 12

or, y <

or, y <

Final Answer:

The inequality in the "y =" form of the graph is given by-- y <

Given inequality 3x - 6y > 12

or, 6y < 3x - 12

or, y <

or, y <

Final Answer:

The inequality in the "y =" form of the graph is given by-- y <

### Rewrite this inequality in "y =" form to graph.

3x - 6y > 12

MathematicsGrade10

Step 1 of 1:

Given inequality 3x - 6y > 12

or, 6y < 3x - 12

or, y <

or, y <

Final Answer:

The inequality in the "y =" form of the graph is given by-- y <

Given inequality 3x - 6y > 12

or, 6y < 3x - 12

or, y <

or, y <

Final Answer:

The inequality in the "y =" form of the graph is given by-- y <

Mathematics

### Find the option that is NOT a solution to the systems of inequalities.

Step 1 of 1:

Observe that the points (0,0), (3,1), and (2,2) fall within the common shaded region of the equations.

But the option (-4, 0) is not a solution because it does not fall in the shaded region.

Final Answer:

The right choice is-- d. (-4, 0)

Observe that the points (0,0), (3,1), and (2,2) fall within the common shaded region of the equations.

But the option (-4, 0) is not a solution because it does not fall in the shaded region.

Final Answer:

The right choice is-- d. (-4, 0)

### Find the option that is NOT a solution to the systems of inequalities.

MathematicsGrade10

Step 1 of 1:

Observe that the points (0,0), (3,1), and (2,2) fall within the common shaded region of the equations.

But the option (-4, 0) is not a solution because it does not fall in the shaded region.

Final Answer:

The right choice is-- d. (-4, 0)

Observe that the points (0,0), (3,1), and (2,2) fall within the common shaded region of the equations.

But the option (-4, 0) is not a solution because it does not fall in the shaded region.

Final Answer:

The right choice is-- d. (-4, 0)

Mathematics

### Find the option that is a solution to the systems of inequalities.

Step 1 of 1:

Observe that the points (-3,2), (-3,0), and (0,-2) fall outside of the common shaded region of the equations.

But the option (1, 1) is a solution because it falls within the shaded region.

Final Answer:

The right choice is-- b. (1, 1)

Observe that the points (-3,2), (-3,0), and (0,-2) fall outside of the common shaded region of the equations.

But the option (1, 1) is a solution because it falls within the shaded region.

Final Answer:

The right choice is-- b. (1, 1)

### Find the option that is a solution to the systems of inequalities.

MathematicsGrade10

Step 1 of 1:

Observe that the points (-3,2), (-3,0), and (0,-2) fall outside of the common shaded region of the equations.

But the option (1, 1) is a solution because it falls within the shaded region.

Final Answer:

The right choice is-- b. (1, 1)

Observe that the points (-3,2), (-3,0), and (0,-2) fall outside of the common shaded region of the equations.

But the option (1, 1) is a solution because it falls within the shaded region.

Final Answer:

The right choice is-- b. (1, 1)

Mathematics

### Find the option that is NOT a solution to the systems of inequalities.

Step 1 of 1:

Observe that the points (3,-2), (4,-4), and (3,-4) fall within the common shaded region of the equations.

But the option (0, 0) is not a solution because it falls out of the shaded region.

Final Answer:

The right choice is-- c. (0, 0)

Observe that the points (3,-2), (4,-4), and (3,-4) fall within the common shaded region of the equations.

But the option (0, 0) is not a solution because it falls out of the shaded region.

Final Answer:

The right choice is-- c. (0, 0)

### Find the option that is NOT a solution to the systems of inequalities.

MathematicsGrade10

Step 1 of 1:

Observe that the points (3,-2), (4,-4), and (3,-4) fall within the common shaded region of the equations.

But the option (0, 0) is not a solution because it falls out of the shaded region.

Final Answer:

The right choice is-- c. (0, 0)

Observe that the points (3,-2), (4,-4), and (3,-4) fall within the common shaded region of the equations.

But the option (0, 0) is not a solution because it falls out of the shaded region.

Final Answer:

The right choice is-- c. (0, 0)

Mathematics