SOLUTION: Solve by factoring: x^2-50+23x

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Question 1078205: Solve by factoring: x^2-50+23x
Found 2 solutions by ikleyn, iamrnlyn:
Answer by ikleyn(52798) About Me  (Show Source):
You can put this solution on YOUR website!
.
x^2 - 50 + 23x = x%5E2+%2B+23x+-+50 = 

    Find (mentally) two numbers whose product is equal to -50 (the constant term) and whose sum is 23 (the coefficient at "x").

    These numbers are 25 and -2.


    Therefore, the factoring is 

= (x-(-25))*(x-2) = (x+25)*(x-2).


You can check it manually.


Answer.  x^2 - 50 + 23x = x%5E2+%2B+23x+-+50 = (x+25)*(x-2).


Answer by iamrnlyn(1) About Me  (Show Source):
You can put this solution on YOUR website!
1. find two numbers:
Add up
x+y=23
and multiply
x*y= -50
and these numbers are 25 and -2
(x-2)(x+25)
Checking:
(x-2)(x+25)
(x*x)+(-2*x)+(25*x)+(-2*25)
= x^2+(-2x)+(25x)+50
=x^2+23x-50