SOLUTION: Solve the following inequality {{{X^2-X-6>0}}} So far I have {{{(X-3)(x+2)=0}}} {{{X=3 x=-2}}}

Algebra ->  Inequalities -> SOLUTION: Solve the following inequality {{{X^2-X-6>0}}} So far I have {{{(X-3)(x+2)=0}}} {{{X=3 x=-2}}}      Log On


   

Question 891075: Solve the following inequality
X%5E2-X-6%3E0
So far I have
%28X-3%29%28x%2B2%29=0
X=3+x=-2
Answer by josgarithmetic(39799) About Me  (Show Source):
You can put this solution on YOUR website!
First, understand x%3C%3EX.

Start with x%5E2-x-6%3E0
Factor as %28x%2B2%29%28x-3%29%3E0 which shows the critical points at -2 and 3.

The quadratic expression is a parabola with a minimum for x between the two critical values.
You can check in the three intervals for relation to zero if you want.

Expect to find the given statement is true for highlight%28x%3C-2%29 and for highlight%28x%3E3%29.

graph%28300%2C300%2C-6%2C6%2C-8%2C4%2Cx%5E2-x-6%29