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

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

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

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

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

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

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^{3} - 3 x + 2

4 x^{3} - 12 x^{2} - 11 x - 2 = 0

x^{5} = 64 x^{2}

- 16 x - 4 x^{3} = 164

20 x^{3} + 60 x^{2} = 0

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