Try the fastest way to create flashcards

Solve each inequality algebraically. x34x2>0x^{3}-4 x^{2}>0


Answered 2 years ago
Answered 2 years ago
Step 1
1 of 5

We change the inequality of x34x2>0x^3-4x^2>0 to equal to zero to make it easier, then get the value of xx Thus,

x34x2=0factor out x2x2(x4)=0x2=0;     x4=0x=0;       x=4\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=0x=0 and x=4x=4

Create a free account to view solutions

Create a free account to view solutions

Recommended textbook solutions

Precalculus 2nd Edition by Carter, Cuevas, Day, Malloy


2nd EditionISBN: 9780076602186 (1 more)Carter, Cuevas, Day, Malloy
8,886 solutions
Precalculus Enhanced with Graphing Utilities 7th Edition by Michael Sullivan

Precalculus Enhanced with Graphing Utilities

7th EditionISBN: 9780134119281 (2 more)Michael Sullivan
9,861 solutions
Nelson Functions 11 1st Edition by Chris Kirkpatrick, Marian Small

Nelson Functions 11

1st EditionISBN: 9780176332037Chris Kirkpatrick, Marian Small
1,275 solutions
Precalculus with Limits 3rd Edition by Larson

Precalculus with Limits

3rd EditionISBN: 9781133962885 (2 more)Larson
11,217 solutions

More related questions