Question

use the method of completing the square to determine the exact values of x for the equation x^2 - 8x + 6 = 0

Answer 1

The exact solutions of the quadratic equation are:

$4- \sqrt{10}$  and $4+ \sqrt{10}$

Solving quadratic equations

The given quadratic equation is:

$x^2-8x+6=0\\\\x^2-8x=-6$

The completing the square method

Add $2^2$ to both sides

$x^2-8x+4^2=-6+4^2\\\\(x-4)^2=-6+16\\\\(x-4)^2=10\\\\x-4=\pm \sqrt{10} \\\\x=4 \pm \sqrt{10}$

The exact solutions of the quadratic equation are:

$4- \sqrt{10}$  and $4+ \sqrt{10}$

Learn more on completing the square method here: https://brainly.com/question/10449635