SOLUTION: Please help me solve this equation: Factor the trinomial s^2-15s+50

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Question 123676: Please help me solve this equation:
Factor the trinomial
s^2-15s+50

Found 2 solutions by nadinadan, Earlsdon:
Answer by nadinadan(32) About Me  (Show Source):
You can put this solution on YOUR website!
s^2-15s+50
All we have to do is to write the formula down and replace the values.
as^2+bs+c=0 in our case a is 1, b is -15 and c is 50.
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ would result in
x+=+%28-%28-15%29+%2B-+sqrt%28+%28-15%29%5E2-4%2A1%2A50+%29%29%2F%282%2A1%29+
so +15+-sqrt( 225-200)) /2 =
so one solution is (15+5)/2 and the second solution is (15-5)/2 so x1=10 and x2=5 Let me know if you have prblems understanding it.
Thank-you.

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
What equation???
What you have here is an expression, and expressions can't be "solved" but they can be simplified, or, given enough data, they can be evaluated.
Factor the trinomial:
s%5E2-15s%2B50
The factors will look like:
%28s%2Bm%29%2A%28s%2Bn%29 where: m%2An+=+50 and m%2Bn+=+-15
It's not too hard to see that if m+=+-5 and n+=+-10, then
m%2An+=+%28-5%29%28-10%29 =50 and m%2Bn+=+-5%2B%28-10%29=-15, so, the factors of the trinomial are:
s%5E2-15s%2B50+=+%28s-5%29%28s-10%29