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Question 993262: 2 numbers that sum of them is 26 and when you multiply them is 315
Answer by farohw(175)   (Show Source):
You can put this solution on YOUR website!
Let x + y = 26 represent the sum of two numbers is 26, and x*y = 315 for the product of 315.
x + y = 26 --> y = 26 - x
By substitution,
x*y = 315 --> x*(26 - x) = 315
26x - x^2 = 315 --> x^2 - 26x - 315 = 0
becomes (x - 35)(x + 9) = 0 when you factor.
Thus, x - 35 = 0 and x + 9 = 0 yields
x = 35, x = -9
So if you add 35 + (-9) = 26
However, when you multiply 35*(-9) = -315 not 315.
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