Question

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

Answer 1

Answer:

D.

Step-by-step 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 $x-5=-\sqrt[]{44}$

$x=\sqrt{44} +5$ or $x=-\sqrt{44} +5$