SOLUTION: What multiplies to -30 and adds to -34?

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: What multiplies to -30 and adds to -34?      Log On


   

Question 871151: What multiplies to -30 and adds to -34?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Two numbers I'm assuming?
AB=-30
A%2BB=-34
From the first,
A=-30%2FB
Substitute into the second,
-30%2FB%2BB=-34
-30%2BB%5E2=-34B
B%5E2%2B34B-30=0
%28B%5E2%2B34B%2B289%29-30=289
%28B%2B17%29%5E2=319
B%2B17=0+%2B-+sqrt%28319%29
B=-17+%2B-+sqrt%28319%29
Now for each B solve for A.
B=-17%2Bsqrt%28319%29
A-17%2Bsqrt%28319%29=-34
A=-17-sqrt%28319%29
and
B=-17-sqrt%28319%29
A-17-sqrt%28319%29=-34
A=17%2Bsqrt%28319%29