Question

# Show that m = 2 is the root of the equation 9m – 4 = 14.

Hint:

### root of equation is value of m at which the equation becomes 0 find value of the m which satisfies the given equation.

## The correct answer is: m = 2

### Ans :- m = 2 is root of equation 9m- 4 = 14

Explanation :-

Let F(m) = 9m - 4 - 14

We know that m=2 is a root if only if F(2) = 0

F(2) = 9(2) - 4 - 14 = 18 - 18 = 0

### Related Questions to study

### Solve

### Solve

### Find the value of 'x' in the following expressions:(b) 4x+0.9= 10

### Find the value of 'x' in the following expressions:(b) 4x+0.9= 10

### In the *xy*-plane, the point (2, 6) lies on the graph of where *k *is a constant. Which of the following points must also lie on the graph?

**Note: **

Whenever there is an unknown constant in the given equation, we must always try to find the value of that constant first with the help of the given conditions. Another way to solve this question is; observe that the equation can be written as x y = k , that is, the product of the x co-ordinate and y co-ordinate always remains a constant. As the point (2, 6) satisfies it, we get that constant to be 12. So we check for which of the points in the options, the product of x co-ordinate and y co-ordinate is 12.

### In the *xy*-plane, the point (2, 6) lies on the graph of where *k *is a constant. Which of the following points must also lie on the graph?

**Note: **

Whenever there is an unknown constant in the given equation, we must always try to find the value of that constant first with the help of the given conditions. Another way to solve this question is; observe that the equation can be written as x y = k , that is, the product of the x co-ordinate and y co-ordinate always remains a constant. As the point (2, 6) satisfies it, we get that constant to be 12. So we check for which of the points in the options, the product of x co-ordinate and y co-ordinate is 12.

### Find the value of 'x' in the following expressions:(a) 12x – 9 = 5

### Find the value of 'x' in the following expressions:(a) 12x – 9 = 5

### Solve the following equations. (b) 4m + 11 = 55

### Solve the following equations. (b) 4m + 11 = 55

### y=x^{2 }- a

In the equation above, a is a positive constant and the graph of the equation in the xy‑plane is a parabola. Which of the following is an equivalent form of the equation?

### y=x^{2 }- a

In the equation above, a is a positive constant and the graph of the equation in the xy‑plane is a parabola. Which of the following is an equivalent form of the equation?

The expression above is equivalent to , where *a *is a positive constant and

*x *≠ −2. What is the value of *a *?

The expression above is equivalent to , where *a *is a positive constant and

*x *≠ −2. What is the value of *a *?

### x^{2 }+ 20x + y^{2 }+ 16y = -20

The equation above defines a circle in the *xy*-plane. What are the coordinates of the center of the circle?

### x^{2 }+ 20x + y^{2 }+ 16y = -20

The equation above defines a circle in the *xy*-plane. What are the coordinates of the center of the circle?

The graph of the linear function *f *is shown in the *xy*-plane above. The slope of the graph of the linear function *g *is 4 times the slope of the graph of *f*. If the graph of *g *passes through the point ( 0, −4), what is the value of *g*(9 ) ?

The graph of the linear function *f *is shown in the *xy*-plane above. The slope of the graph of the linear function *g *is 4 times the slope of the graph of *f*. If the graph of *g *passes through the point ( 0, −4), what is the value of *g*(9 ) ?

### The mean score of 8 players in a basketball game was 14.5 points. If the highest individual score is removed, the mean score of the remaining 7 players becomes 12 points. What was the highest score?

### The mean score of 8 players in a basketball game was 14.5 points. If the highest individual score is removed, the mean score of the remaining 7 players becomes 12 points. What was the highest score?

### If a^{2} + b^{2} = z and ab = y, which of the following is equivalent to 4z + 8y ?

### If a^{2} + b^{2} = z and ab = y, which of the following is equivalent to 4z + 8y ?

### Intersecting lines r, s and t are shown below .

### Intersecting lines r, s and t are shown below .

### The surface area of a cube is 6(a/4)^{2},where *a *is a positive constant. Which of the following gives the perimeter of one face of the cube?

### The surface area of a cube is 6(a/4)^{2},where *a *is a positive constant. Which of the following gives the perimeter of one face of the cube?

If (x, y) is a solution of the system of equations above and x > 0, what is the value of xy ?

If (x, y) is a solution of the system of equations above and x > 0, what is the value of xy ?

In triangle *ABC *above, side AC is extended to

point *D*. What is the value of *y-x*?

**Note: **

It is important to know the basic properties of a triangle to solve such problems. The most important property to remember is; the sum the interior angles of a triangle is 180°. This is often used in solving problems in geometry.

In triangle *ABC *above, side AC is extended to

point *D*. What is the value of *y-x*?

**Note: **

It is important to know the basic properties of a triangle to solve such problems. The most important property to remember is; the sum the interior angles of a triangle is 180°. This is often used in solving problems in geometry.