SOLUTION: Follow the process of completing the square to solve x^2 - 10x + 8 = 0. How will the left side of the equation factor in step 5? (x - 10)^2 (x - 20)^2 (2x - 10)^2 I had

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Question 1056948: Follow the process of completing the square to solve x^2 - 10x + 8 = 0.
How will the left side of the equation factor in step 5?
(x - 10)^2
(x - 20)^2
(2x - 10)^2
I had answered (x-10)^2 and was wrong.

Found 2 solutions by josmiceli, ikleyn:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+x%5E2+-+10x+%2B+8+=+0+
+x%5E2+-+10x+=+-8+
+x%5E2+-+10x+%2B+%28-10%2F2%29%5E2+=+-8+%2B+%28-10%2F2%29%5E2+
+x%5E2+-+10x+%2B+25+=+-8+%2B+25+
+x%5E2+-+10x+%2B+25+=+17+
Now I can multiply both sides by +4+
+4x%5E2+-+40x+%2B+100+=+68+
+%28+2x+-+10+%29%5E2+=+%28+sqrt%2868%29+%29%5E2+
So, I can make the last answer work, I just
would not have multiplied both sides by +4+

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
Follow the process of completing the square to solve x^2 - 10x + 8 = 0.
How will the left side of the equation factor in step 5?
(x - 10)^2
(x - 20)^2
(2x - 10)^2
I had answered (x-10)^2 and was wrong.
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x^2 - 10x + 8 = 0.

x^2 - 10x + 25 - 25 + 8 = 0.

(x^2 - 10x + 25) - 25 + 8 = 0.

%28x-5%29%5E2+-17 = 0,

%28x-5%29%5E2 = 17,

x - 5 = +/- sqrt%2817%29,

x = 5+%2B-+sqrt%2817%29.