Question

Complete the square to transform the quadratic equation into the form (x –p)2= q.X2-8x -10 = 18

Answer 1

`(x-4)^(2)=44`

Explanation:

we have

`x^(2)-8x-10=18`

Group terms that contain the same variable, and move the constant to the opposite side of the equation

`x^(2)-8x=18+10`

`x^(2)-8x=28`

Complete the square . Remember to balance the equation by adding the same constants to each side

`x^(2)-8x+16=28+16`

`x^(2)-8x+16=44`

Rewrite as perfect squares

`(x-4)^(2)=44`