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

The solutions to the equation 4x^3=-36x are x=0,x=3i,x=-3i

Find the zeros of 4x^3=-36x

The zeros of 4x^3=-36x are x=0,x=3i,x=-3i

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4 x^{3} = - 36 x

x = 0, x = 3 i, x = - 3 i

Solution steps

4 x^{3} = - 36 x

Move

36 x

to the left side

4 x^{3} + 36 x = 0

Factor

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

4 x (x^{2} + 9) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{2} + 9 = 0

Solve

x^{2} + 9 = 0 : x = 3 i, x = - 3 i

The solutions are

x = 0, x = 3 i, x = - 3 i

x^{6} = 2

x^{8} = 2

x^{3} + 2 b x^{2} - 9 x - 18 b = 0

(y^{2} - 3)^{2} + 4 (y^{2} - 3) = - 4

x^{3} = - 5

What are the solutions to the equation 4x^3=-36x ?
The solutions to the equation 4x^3=-36x are x=0,x=3i,x=-3i
Find the zeros of 4x^3=-36x
The zeros of 4x^3=-36x are x=0,x=3i,x=-3i