Question

Complete the square to transform the quadratic equation into the form (x – p)2 = q. X2 - 8x - 10 = 18 A) (x - 8)2 = 14 B) (x - 4)2 = 44 C) (x - 8)2 = -14 D) (x - 4)2 = -44

Answer 1

b

Explanation:

Answer 2

Option B.
`(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`