SOLUTION: kindly solve this quadratic equation using factoring method m^2/18 - m/6 - 1 = 0

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: kindly solve this quadratic equation using factoring method m^2/18 - m/6 - 1 = 0      Log On


   

Question 119086: kindly solve this quadratic equation using factoring method
m^2/18 - m/6 - 1 = 0
Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
First let's eliminate the fractions by multiplying both sides by 18.
m%5E2-3m-18=0
We have to find factors m+a and m+b such that:
ab=-18 and
a+b=-3

Searching, we have
a=-6
b=3

So, proceeding,
m%5E2-3m-18=%28m-6%29%28m%2B3%29=0
%28m-6%29%28m%2B3%29=0
m-6=0 or m+3=0
m=6 or m=-3

Power up,
HyperBrain!