SOLUTION: How do I do this one? {{{(x^2-5x)/(x-7)<=0}}}

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: How do I do this one? {{{(x^2-5x)/(x-7)<=0}}}      Log On


   



Question 28623: How do I do this one?
%28x%5E2-5x%29%2F%28x-7%29%3C=0

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve:
%28x%5E2-5x%29%2F%28x-7%29%3C=0 Multiply both sides by (x-7)
x%5E2-5x%3C=0 Factor an x on the left side.
x%28x-5%29%3C=0 Apply the zero products principle.
x%3C=0 and/orx-5%3C=0
Ifx-5%3C=0 then x%3C=5
Answer:
x%3C=0 orx%3C=5