SOLUTION: factor: x squared +10x+8

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Question 58397: factor:
x squared +10x+8
Found 2 solutions by checkley71, josmiceli:
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
X^2+10X+8=0
USING THE QUADRATIC EQUATION WE GET
X=(-10+-(SQRT100-4*8))/2
X=(-10+-(SQRT100-32))/2
X=(-10+-(SQRT68))/2
X=(-10+-8.246)/2
X=(-10-8.246)/2
X=-18.246/2
X=-9.123
&
X=(-10+8.246)/2
X=-1.754/2
X=-.877

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2+%2B+10x+%2B+8
complete the square
x%5E2+%2B+10x+%2B+%2810%2F2%29%5E2+=+-8+%2B+%2810%2F2%29%5E2
x%5E2+%2B+10x+%2B+25+=+-8+%2B+25
%28x+%2B+5%29%5E2+=+17
x+%2B+5+=+0+%2B-+sqrt%2817%29
x+=+-5+%2B-sqrt%2817%29
the factors are
x+%2B+5+%2B+sqrt%2817%29 and x+%2B+5+-+sqrt%2817%29
check
%28x+%2B+5+%2B+sqrt%2817%29%29%2A%28x+%2B+5+-+sqrt%2817%29%29+=+0%29
x%5E2+%2B+%285+%2B+sqrt%2817%29%29%2Ax+%2B+%285+-+sqrt%2817%29%29%2Ax+%2B+25+-+17++=+0
x%5E2+%2B+10x+%2B+8+=+0
OK