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For what values of $x$ is $x^3-10x^2>-25x$?

 Apr 30, 2022

Best Answer 

 #1
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x^3 - 10x^2 > -25x

x^3 -10x^2 + 25x > 0

x^2 - 10x + 25 > 0

(x - 5)^2 > 0

 

The solution is all x except 5.  In interval notation, the soution is (-inf,5) U (5,inf).

 Apr 30, 2022
 #1
avatar
+1
Best Answer

x^3 - 10x^2 > -25x

x^3 -10x^2 + 25x > 0

x^2 - 10x + 25 > 0

(x - 5)^2 > 0

 

The solution is all x except 5.  In interval notation, the soution is (-inf,5) U (5,inf).

Guest Apr 30, 2022

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