SOLUTION: Solve each rational inequality. State and graph the solution set. x + 3/x equal to or less than -2

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Solve each rational inequality. State and graph the solution set. x + 3/x equal to or less than -2      Log On


   

Question 37472: Solve each rational inequality. State and graph the solution set.
x + 3/x equal to or less than -2
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
From x + 3 / x ≤ -2, clear fractions by multiplying both sides by x...
x^2 + 3 ≤ -2x then add 2x to both sides and factor what's on the left...
x^2 + 2x + 3 ≤ 0
It turns out that the minimum point of this parabola is at (-2, 3) and never crosses the x-axis.
Thus it has no real solutions.
I hope you wrote the problem correctly.