Solve the following inequality 3 4x2 SolutionSolution x34x

Solve the following inequality. ?^3 + 4x^2

Solution

Solution : x^3+4x^2<0

This may be written as

x^2(x+4)<0

Thus there are two critical point x=0, and x=-4

For x<-4 .

Let x=-5

Then the value of expression (-5)^2(-5+4)=-25 satisfy the inequality.

Thus the solution interval is (-infinity, -4). Ans