Question

Follow the process of completing the square to solve x2 - 10x + 8 = 0. How will the left side of the equation factor in step 5?

Answer 1

Answer:

$x=5(+/-)\sqrt{17}$

Step-by-step explanation:

we have

$x^{2}-10x+8=0$

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

$x^{2}-10x=-8$

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

$x^{2}-10x+5^{2}=-8+5^{2}$

$x^{2}-10x+25=-8+25$

$x^{2}-10x+25=17$

Rewrite as perfect squares

$(x-5)^{2}=17$

Take square root both sides

$(x-5)=(+/-)\sqrt{17}$

Adds 5 both sides

$x=5(+/-)\sqrt{17}$