Question 993262


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.