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

Algebra.Com
Question 1078205: Solve by factoring: x^2-50+23x
Found 2 solutions by ikleyn, iamrnlyn:
Answer by ikleyn(52799)   (Show Source): You can put this solution on YOUR website!
.
x^2 - 50 + 23x =  = 

    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+25)*(x-2).


Answer by iamrnlyn(1)   (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
RELATED QUESTIONS

Solve the equation by factoring 3x^2+14=23x please show... (answered by josgarithmetic,MathTherapy)
find the zero of the function h(x)=x^2+23x+60 by... (answered by rfer,richard1234)
solve quadratic equation by factoring x^2+15x=-50 (answered by greenestamps,josgarithmetic)
Solve for x: 2(x + 1) =... (answered by nerdybill)
solve for x:... (answered by Gogonati,edjones)
find the zeros of the function h(x)= x2 +23x+60 by... (answered by jim_thompson5910)
Can i see the steps on how to solve this equation by factoring and then using the zero... (answered by MathLover1,lynnlo)
Use factoring to solve the equation... (answered by swincher4391)
solve 6x^2-2=x by... (answered by funmath)