Question

Solve the following quadratic equation by factorization method
x(x+9)=52

Answer 1

Answer:

x(x+9)=52(given)

x²+9x=52

x²+9x-52

x²+13x-4x-52

x(x+13) -4(x+13)

(x+13) (x-4)

Answer 2

Given

• x(x+9)=52

To find

• Solve the equation by factorization method

Solution

we are provided a expression that has to be turned to a quadratic equation and further find the values of x through factorisation method.

first, let's make the expression to a proper quadratic form,

x(x+9)=52

or, x^2 +9x = 52

or, x^2 +9x -52 =0

now it is possible to find the root of the equation using factorization method or middle splitting method.

x^2 +9x -52 =0

or, x^2 + 13x -4x - 52 =0

or, x(x+ 13) -4 ( x + 13) =0

or, (x+13)(x-4) = 0

Therefore, x = 4 or x= -13