What are the solutions to the equation 5x^4=1080x ?

The solutions to the equation 5x^4=1080x are x=0,x=6,x=-3+3sqrt(3)i,x=-3-3sqrt(3)i

Find the zeros of 5x^4=1080x

The zeros of 5x^4=1080x are x=0,x=6,x=-3+3sqrt(3)i,x=-3-3sqrt(3)i

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5 x^{4} = 1080 x

x = 0, x = 6, x = - 3 + 33 i, x = - 3 - 33 i

Solution steps

5 x^{4} = 1080 x

Move

1080 x

to the left side

5 x^{4} - 1080 x = 0

Factor

5 x^{4} - 1080 x : 5 x (x - 6) (x^{2} + 6 x + 36)

5 x (x - 6) (x^{2} + 6 x + 36) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 6 = 0 or x^{2} + 6 x + 36 = 0

Solve

x - 6 = 0 : x = 6

Solve

x^{2} + 6 x + 36 = 0 : x = - 3 + 33 i, x = - 3 - 33 i

The solutions are

x = 0, x = 6, x = - 3 + 33 i, x = - 3 - 33 i

x^{3} (x + 1) = - 6

x, - y = x^{3}

(1 + 0.8) = (1 + \frac{x}{12})^{3}

2 x^{3} + x^{2} - 6 x + 7 = 0

x^{3} - x^{2} - 8 = 0

What are the solutions to the equation 5x^4=1080x ?
The solutions to the equation 5x^4=1080x are x=0,x=6,x=-3+3sqrt(3)i,x=-3-3sqrt(3)i
Find the zeros of 5x^4=1080x
The zeros of 5x^4=1080x are x=0,x=6,x=-3+3sqrt(3)i,x=-3-3sqrt(3)i