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Popular >

4x^3+16x^2-9x-36>0

Solution

4 x^{3} + 16 x^{2} - 9 x - 36 > 0

Solution

- 4 < x < - \frac{3}{2} or x > \frac{3}{2}

+2

Interval Notation

(- 4, - \frac{3}{2}) \cup (\frac{3}{2}, \infty)

Decimal Notation

- 4 < x < - 1.5 or x > 1.5

Solution steps

4 x^{3} + 16 x^{2} - 9 x - 36 > 0

Factor

4 x^{3} + 16 x^{2} - 9 x - 36 : (x + 4) (2 x + 3) (2 x - 3)

(x + 4) (2 x + 3) (2 x - 3) > 0

Identify the intervals

- 4 < x < - \frac{3}{2} or x > \frac{3}{2}

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Frequently Asked Questions (FAQ)

What is 4x^3+16x^2-9x-36>0 ?
The solution to 4x^3+16x^2-9x-36>0 is -4<x<-3/2 \lor x> 3/2