SOLUTION: Solve by completing the square. x^2-10x+24=0

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Question 88258: Solve by completing the square.
x^2-10x+24=0
Answer by tutor_paul(519) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2-10x%2B24=0
First, get the x^2 and x terms alone on the left side of the equation:
x%5E2-10x=-24
Divide the coefficient of x (10) by 2 and square the result. Add this to both
sides of the equation in order to maintain the equality:
x%5E2-10x%2B25=-24%2B25
Convert the left side of the equation to "squared" form and simplify the right side.
%28x-5%29%5E2=1
Take the square root of both sides:
x-5=+-1
Solve for x - remember you will get 2 answers... lets take the case of the +1 first:
x-5=1
highlight%28x=6%29
Now, take the case of -1:
x-5=-1
highlight%28x=4%29
Good Luck,
tutor_paul@yahoo.com