Question

Question 3 of 10
Complete the square to solve the equation below.
x2-10X-2 = 17

Answer 1

The answer is D..............

Answer 2

D.

Explanation:

`x^2-10x-2=17`

Add 2 to both sides:

`x^2-10x-2+2=17+2`

`x^2-10x=19`

Add half of the coefficient of the x, squared to both sides:

`x^2-10x+\left(-5\right)^2=19+\left(-5\right)^2`

Simplify:

`x^2-10x+\left(-5\right)^2=44`

Complete the square:

`\left(x-5\right)^2=44`

`x-5=\sqrt[]{44}` or
`x-5=-\sqrt[]{44}`

`x=√(44) +5` or
`x=-√(44) +5`