What are the solutions to the equation 0=4x^3-36x^2-84x ?

The solutions to the equation 0=4x^3-36x^2-84x are x=0,x=(9+sqrt(165))/2 ,x=(9-sqrt(165))/2

Find the zeros of 0=4x^3-36x^2-84x

The zeros of 0=4x^3-36x^2-84x are x=0,x=(9+sqrt(165))/2 ,x=(9-sqrt(165))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

0 = 4 x^{3} - 36 x^{2} - 84 x

x = 0, x = \frac{9 + 165}{2}, x = \frac{9 - 165}{2}

Decimal Notation

x = 0, x = 10.92261 \dots, x = - 1.92261 \dots

Solution steps

0 = 4 x^{3} - 36 x^{2} - 84 x

Switch sides

4 x^{3} - 36 x^{2} - 84 x = 0

Factor

4 x^{3} - 36 x^{2} - 84 x : 4 x (x^{2} - 9 x - 21)

4 x (x^{2} - 9 x - 21) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{2} - 9 x - 21 = 0

Solve

x^{2} - 9 x - 21 = 0 : x = \frac{9 + 165}{2}, x = \frac{9 - 165}{2}

The solutions are

x = 0, x = \frac{9 + 165}{2}, x = \frac{9 - 165}{2}

x^{4} + 8 x^{3} + 6 x^{2} - 5 x + 14 = 0

24 x^{5} + 10 x^{4} - x^{3} - 19 x^{2} - 5 x + 6 = 0

x^{4} + 4 x^{2} - 117 = 0

t^{3} + 4 t^{2} - 44 t - 96 = 0

3 (x^{3} - x) = 0

What are the solutions to the equation 0=4x^3-36x^2-84x ?
The solutions to the equation 0=4x^3-36x^2-84x are x=0,x=(9+sqrt(165))/2 ,x=(9-sqrt(165))/2
Find the zeros of 0=4x^3-36x^2-84x
The zeros of 0=4x^3-36x^2-84x are x=0,x=(9+sqrt(165))/2 ,x=(9-sqrt(165))/2