SOLUTION: Please help me solve this expression? Complete the square. {{{x^2-10x+24=0}}}

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x^2-10x =-24 subtract 24 from each side.
x^2-10x+25=25-24 take 1/2 of -10 and square it.
(x-5)^2=1 factor the left side.
x-5=+-1 take sqrt of both sides
x=5+-1
x=6, x=4
Ed

You can put this solution on YOUR website!

Start with the given equation


Subtract 24 from both sides


Take half of the x coefficient -10 to get -5 (ie )
Now square -5 to get 25 (ie )



Add this result (25) to both sides. Now the expression is a perfect square trinomial.




Factor into (note: if you need help with factoring, check out this solver)



Combine like terms on the right side

Take the square root of both sides

Add 5 to both sides to isolate x.

So the expression breaks down to
or


or Take the square root of 1 to get 1


or Now combine like terms

So our answer is
or


Here is visual proof

graph of

Here we can see that the x-intercepts are and , so this verifies our answer.