Question 165188
x-2- 8 sqart(x-2)+15=0
{{{x+13 -8sqrt(x-2) = 0}}}
Isolate the radical
{{{x+13 = 8sqrt(x-2)}}}
Square both sides
{{{x^2 + 26x + 169 = 64(x-2)}}}
{{{x^2 + 26x + 169 = 64x-128)}}}
collect terms
{{{x^2 - 38x + 297 = 0}}}
Factor it
(x-27)*(x-11) = 0
x = 27, x = 11