Mathematics
Grade10
Easy

Question

Solve:
fraction numerator x squared minus 7 x minus 18 over denominator x plus 2 end fraction equals x minus 9

  1. All real numbers
  2. All real numbers except -2
  3. No possible solution
  4. 9

The correct answer is: All real numbers except -2


    fraction numerator x squared minus 7 x minus 18 over denominator x plus 2 end fraction equals x minus 9
    rightwards double arrow    fraction numerator left parenthesis x plus 2 right parenthesis left parenthesis x minus 9 right parenthesis over denominator x plus 2 end fraction equals x minus 9
    rightwards double arrow x minus 9 equals x minus 9
    So, all values of x except -2 satisfies the equation.

    Related Questions to study

    Grade10
    Mathematics

    Solve:
    x plus fraction numerator 6 over denominator x minus 3 end fraction equals fraction numerator 2 x over denominator x minus 3 end fraction

    Solve:
    x plus fraction numerator 6 over denominator x minus 3 end fraction equals fraction numerator 2 x over denominator x minus 3 end fraction

    MathematicsGrade10
    Grade10
    Mathematics

    Solve:
    fraction numerator 4 over denominator 3 left parenthesis x plus 1 right parenthesis end fraction equals fraction numerator 12 over denominator x squared minus 1 end fraction

    Solve:
    fraction numerator 4 over denominator 3 left parenthesis x plus 1 right parenthesis end fraction equals fraction numerator 12 over denominator x squared minus 1 end fraction

    MathematicsGrade10
    Grade10
    Mathematics

    Solve:
    fraction numerator x over denominator x minus 3 end fraction minus 4 equals fraction numerator 3 over denominator x minus 3 end fraction

    Solve:
    fraction numerator x over denominator x minus 3 end fraction minus 4 equals fraction numerator 3 over denominator x minus 3 end fraction

    MathematicsGrade10
    parallel
    Grade10
    Mathematics

    Solve:
    fraction numerator 1 over denominator x minus 3 end fraction equals 10

    Solve:
    fraction numerator 1 over denominator x minus 3 end fraction equals 10

    MathematicsGrade10
    Grade10
    Mathematics

    If x = 3 a and a ≠ 2 , which of the following is an equivalent to the expression given below?
    fraction numerator straight x squared minus 36 over denominator left parenthesis straight x minus 6 right parenthesis squared end fraction

    Fractions whose value is same are called equivalent fractions.

    If x = 3 a and a ≠ 2 , which of the following is an equivalent to the expression given below?
    fraction numerator straight x squared minus 36 over denominator left parenthesis straight x minus 6 right parenthesis squared end fraction

    MathematicsGrade10

    Fractions whose value is same are called equivalent fractions.

    Grade10
    Mathematics

    An engineering firm wants to construct a cylindrical structure that will maximize the volume for a given surface area. The following formulas are given for the volume and surface area of cylinders.
    Volume (v) = straight pir2h
    Surface Area (SA) = 2straight pirh = 2straight pir2

    calculate the ratio of volume to surface area for cylinder B.

    Volume = area of base × height

    An engineering firm wants to construct a cylindrical structure that will maximize the volume for a given surface area. The following formulas are given for the volume and surface area of cylinders.
    Volume (v) = straight pir2h
    Surface Area (SA) = 2straight pirh = 2straight pir2

    calculate the ratio of volume to surface area for cylinder B.

    MathematicsGrade10

    Volume = area of base × height

    parallel
    Grade10
    Mathematics

    An engineering firm wants to construct a cylindrical structure that will maximize the volume for a given surface area. The following formulas are given for the volume and surface area of cylinders.
    Volume (v) = straight pir2h
    Surface Area (SA) = 2straight pirh = 2straight pir2

    Calculate the ratio of volume to surface area for cylinder A

    Volume = base area × height

    An engineering firm wants to construct a cylindrical structure that will maximize the volume for a given surface area. The following formulas are given for the volume and surface area of cylinders.
    Volume (v) = straight pir2h
    Surface Area (SA) = 2straight pirh = 2straight pir2

    Calculate the ratio of volume to surface area for cylinder A

    MathematicsGrade10

    Volume = base area × height

    Grade10
    Mathematics

    A parallelogram with an area of fraction numerator left parenthesis 3 straight x space plus space 12 right parenthesis over denominator left parenthesis 10 straight x space plus space 25 right parenthesis end fraction square units has a height as shown. Find the length of the base of the parallelogram.

    Area of a parallelogram= base × corresponding height

    A parallelogram with an area of fraction numerator left parenthesis 3 straight x space plus space 12 right parenthesis over denominator left parenthesis 10 straight x space plus space 25 right parenthesis end fraction square units has a height as shown. Find the length of the base of the parallelogram.

    MathematicsGrade10

    Area of a parallelogram= base × corresponding height

    Grade10
    Mathematics

    Find the quotient and the domain.
    fraction numerator 25 straight x squared space minus space 4 over denominator straight x squared space minus space 9 end fraction space divided by space fraction numerator 5 straight x space minus space 2 over denominator straight x space plus space 3 end fraction

    The domain of a function is the set of values that we are allowed to plug into our function.

    Find the quotient and the domain.
    fraction numerator 25 straight x squared space minus space 4 over denominator straight x squared space minus space 9 end fraction space divided by space fraction numerator 5 straight x space minus space 2 over denominator straight x space plus space 3 end fraction

    MathematicsGrade10

    The domain of a function is the set of values that we are allowed to plug into our function.

    parallel
    Grade10
    Mathematics

    Find the product and the domain.
    fraction numerator left parenthesis straight x space minus space straight y right parenthesis squared over denominator straight x space plus space straight y end fraction space times space fraction numerator 3 straight x space plus space 3 straight y over denominator straight x squared space minus space straight y squared end fraction

    The domain of a function is the set of values that we are allowed to plug into our function.

    Find the product and the domain.
    fraction numerator left parenthesis straight x space minus space straight y right parenthesis squared over denominator straight x space plus space straight y end fraction space times space fraction numerator 3 straight x space plus space 3 straight y over denominator straight x squared space minus space straight y squared end fraction

    MathematicsGrade10

    The domain of a function is the set of values that we are allowed to plug into our function.

    Grade10
    Mathematics

    Write an equivalent expression and state the domain
    fraction numerator 3 straight x squared space plus space 15 straight x over denominator straight x squared space plus space 3 straight x space minus space 10 end fraction

    The domain of a function is the set of values that we are allowed to plug into our function.

    Write an equivalent expression and state the domain
    fraction numerator 3 straight x squared space plus space 15 straight x over denominator straight x squared space plus space 3 straight x space minus space 10 end fraction

    MathematicsGrade10

    The domain of a function is the set of values that we are allowed to plug into our function.

    Grade10
    Mathematics

    An orange crate is in the shape of a rectangular prism. It has a volume of 3x3 + 7x2 + 2x cubic units and a base area of x2 + 2x square units. Find the height of the orange crate.

    Volume = area of base × height

    An orange crate is in the shape of a rectangular prism. It has a volume of 3x3 + 7x2 + 2x cubic units and a base area of x2 + 2x square units. Find the height of the orange crate.

    MathematicsGrade10

    Volume = area of base × height

    parallel
    Grade10
    Mathematics

    If the denominator of a rational expression is x3 + 3x2 – 10x , what values must be restricted from the domain of x?

    The range of a function is the set of values that the function assumes.

    If the denominator of a rational expression is x3 + 3x2 – 10x , what values must be restricted from the domain of x?

    MathematicsGrade10

    The range of a function is the set of values that the function assumes.

    Grade10
    Mathematics

    What is the simplified form and the domain of the rational expression?
    fraction numerator straight y squared space minus space 5 straight y space minus space 24 over denominator straight y squared space plus space 3 straight y end fraction

    The domain of a function is the set of values that we are allowed to plug into our function.

    What is the simplified form and the domain of the rational expression?
    fraction numerator straight y squared space minus space 5 straight y space minus space 24 over denominator straight y squared space plus space 3 straight y end fraction

    MathematicsGrade10

    The domain of a function is the set of values that we are allowed to plug into our function.

    Grade10
    Mathematics

    Simplify the following product
    fraction numerator 15 straight x squared space plus space 4 xy cubed space minus space 3 straight y over denominator straight x squared space straight y to the power of 7 end fraction space cross times space fraction numerator 5 straight y to the power of 4 over denominator 4 straight x cubed end fraction

    The domain of a function is the set of values that we are allowed to plug into our function.

    Simplify the following product
    fraction numerator 15 straight x squared space plus space 4 xy cubed space minus space 3 straight y over denominator straight x squared space straight y to the power of 7 end fraction space cross times space fraction numerator 5 straight y to the power of 4 over denominator 4 straight x cubed end fraction

    MathematicsGrade10

    The domain of a function is the set of values that we are allowed to plug into our function.

    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.