## Related questions with answers

Question

Solve each inequality algebraically. $x^{3}-4 x^{2}>0$

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 5We change the inequality of $x^3-4x^2>0$ to equal to zero to make it easier, then get the value of $x$ Thus,

$\begin{aligned} x^3-4x^2=0&&\color{#4257b2}{\text{factor out $x^2$}}\\ x^2(x-4)=0\\ x^2=0;~~~~~x-4=0\\ x=0;~~~~~~~x=4 \end{aligned}$

Thus, $x=0$ and $x=4$

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