SOLUTION: solve by factor completing the square x^2 - 8x+10=0 x^2 - 8x= -10 (8/2)^2= 64/4= 16 x^2 - 8x + 16=-10 +16 what else to do after this step?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: solve by factor completing the square x^2 - 8x+10=0 x^2 - 8x= -10 (8/2)^2= 64/4= 16 x^2 - 8x + 16=-10 +16 what else to do after this step?       Log On


   

Question 78064: solve by factor completing the square
x^2 - 8x+10=0
x^2 - 8x= -10
(8/2)^2= 64/4= 16
x^2 - 8x + 16=-10 +16
what else to do after this step?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2+-+8x+%2B+16=-10+%2B16
x%5E2+-+8x+%2B+16=6 Combine like terms
%28x-4%29%5E2=6 Since the left side is a perfect square it becomes %28x-4%29%5E2
If you want to solve for x then you simply take the square root of both sides
x-4=0%2B-sqrt%286%29
x=0%2B-sqrt%286%29%2B4 Add 4 to both sides
So our answer is:
x=sqrt%286%29%2B4 or x=-sqrt%286%29%2B4