Question 633567: Please help me solve, a=?, b=35, c= 37
Found 4 solutions by Theo, ikleyn, Edwin McCravy, mccravyedwin:
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! if this is a quadratic equation, then i believe -2 for a would do the trick.
you would get:
-2x^2 + 35x + 37 = 0 as the standard form of the quadratic equation.
factor this to get:
(-2x + 37) * (x + 1) = 0
when you multiply these factors together, you get:
-2x^2 - 2x + 37x + 37 = 0
when you combine like terms, you get:
-2x^2 + 35x + 37 = 0
that's about all i can think of in relation to this problem.
37 could only be 37 * 1
i didn't see any other combination that worked with that.
you then needed a to be equal to -2 in order to allow the addition of the a factors and the c factors to be added together to equal 35.
-2 + 37 = 35 so it looked liked an a factor of -1 would be good enough.
it turned out to be good.
this assumes i understand what you're trying to do correctly, which i believe is solve for a quadratic equation.
Answer by ikleyn(52950)  (Show Source):
You can put this solution on YOUR website! .
Please help me solve, a=?, b=35, c= 37
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I consider it as a Pythagorean equation
a^2 + b^2 = c^2,
a^2 + 35^2 = 37^2,
a^2 = 37^2 - 35^2 = (37-35)*(37+35) = 2*72 = 144,
a^2 = 144,
a =  = 12.
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Looking at Edwin's post, I clearly see that Edwin wants to show his presence here,
but I don't see much point in his introducing a negative value for the quantity
representing the length of a segment.
Only so I could refute it.
Answer by Edwin McCravy(20067)  (Show Source):
Answer by mccravyedwin(411)  (Show Source):
You can put this solution on YOUR website!
As always, Ikleyn has to be a smarty pants. She constantly criticizes the
struggling students who post on this site. She mainly wants to show how
clever she is, even though the clever method she uses is often not the one
the teacher is teaching.
So now she has to criticize me for criticizing her. Before she wrote this
I was thinking of congratulating her for not criticizing this student for
failing to give the necessary equation.
No, I'm not here to "show my presence". It is important to show the student
that if the question were this,
Given  , b=35, c=37, what is a?
then the answer could be a = 12 or a = -12.
Edwin
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