SOLUTION: Solve x^2-10x+25=0

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Question 577118: Solve x^2-10x+25=0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x%5E2-10x%2B25=0 Start with the given equation.


Notice we have a quadratic equation in the form of ax%5E2%2Bbx%2Bc where a=1, b=-10, and c=25


Let's use the quadratic formula to solve for x


x+=+%28-b+%2B-+sqrt%28+b%5E2-4ac+%29%29%2F%282a%29 Start with the quadratic formula


x+=+%28-%28-10%29+%2B-+sqrt%28+%28-10%29%5E2-4%281%29%2825%29+%29%29%2F%282%281%29%29 Plug in a=1, b=-10, and c=25


x+=+%2810+%2B-+sqrt%28+%28-10%29%5E2-4%281%29%2825%29+%29%29%2F%282%281%29%29 Negate -10 to get 10.


x+=+%2810+%2B-+sqrt%28+100-4%281%29%2825%29+%29%29%2F%282%281%29%29 Square -10 to get 100.


x+=+%2810+%2B-+sqrt%28+100-100+%29%29%2F%282%281%29%29 Multiply 4%281%29%2825%29 to get 100


x+=+%2810+%2B-+sqrt%28+0+%29%29%2F%282%281%29%29 Subtract 100 from 100 to get 0


x+=+%2810+%2B-+sqrt%28+0+%29%29%2F%282%29 Multiply 2 and 1 to get 2.


x+=+%2810+%2B-+0%29%2F%282%29 Take the square root of 0 to get 0.


x+=+%2810+%2B+0%29%2F%282%29 or x+=+%2810+-+0%29%2F%282%29 Break up the expression.


x+=+%2810%29%2F%282%29 or x+=++%2810%29%2F%282%29 Combine like terms.


x+=+5 or x+=+5 Simplify.


So the only answer is x+=+5