What is 3x^3-75x<x^2-25 ?

The solution to 3x^3-75x<x^2-25 is x<-5\lor 1/3 <x<5

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3x^3-75x<x^2-25

3 x^{3} - 75 x < x^{2} - 25

x < - 5 or \frac{1}{3} < x < 5

Interval Notation

(- \infty, - 5) \cup (\frac{1}{3}, 5)

Decimal

x < - 5 or 0.33333 \dots < x < 5

Solution steps

3 x^{3} - 75 x < x^{2} - 25

Rewrite in standard form

3 x^{3} - 75 x + 25 - x^{2} < 0

Factor

3 x^{3} - 75 x + 25 - x^{2} : (3 x - 1) (x + 5) (x - 5)

(3 x - 1) (x + 5) (x - 5) < 0

Identify the intervals

x < - 5 or \frac{1}{3} < x < 5

88 \cdot \frac{π}{180}

\frac{x - 3}{10} + \frac{x + 1}{4} = 2 x - 5

\frac{4}{3} - 3

7 r^{3} + 7 r^{2} + 4 r + 4

\frac{x + 9}{x + 2} > - 2