What are the solutions to the equation x^4-27x=0 ?

The solutions to the equation x^4-27x=0 are x=0,x=3,x=-3/2+(3sqrt(3))/2 i,x=-3/2-(3sqrt(3))/2 i

Find the zeros of x^4-27x=0

The zeros of x^4-27x=0 are x=0,x=3,x=-3/2+(3sqrt(3))/2 i,x=-3/2-(3sqrt(3))/2 i

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x^{4} - 27 x = 0

x = 0, x = 3, x = - \frac{3}{2} + \frac{3 3}{2} i, x = - \frac{3}{2} - \frac{3 3}{2} i

Solution steps

x^{4} - 27 x = 0

Factor

x^{4} - 27 x : x (x^{3} - 27)

x (x^{3} - 27) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{3} - 27 = 0

Solve

x^{3} - 27 = 0 : x = 3, x = - \frac{3}{2} + \frac{3 3}{2} i, x = - \frac{3}{2} - \frac{3 3}{2} i

The solutions are

x = 0, x = 3, x = - \frac{3}{2} + \frac{3 3}{2} i, x = - \frac{3}{2} - \frac{3 3}{2} i

x^{6} - 19 x^{2} - 216 = 0

x^{3} + 8 - (x + 2) (x + 4) = 0

x, - y = (- x)^{3}

t^{3} - 2 t = 0

(1 + x^{2}) (1 - x^{3}) = 0

What are the solutions to the equation x^4-27x=0 ?
The solutions to the equation x^4-27x=0 are x=0,x=3,x=-3/2+(3sqrt(3))/2 i,x=-3/2-(3sqrt(3))/2 i
Find the zeros of x^4-27x=0
The zeros of x^4-27x=0 are x=0,x=3,x=-3/2+(3sqrt(3))/2 i,x=-3/2-(3sqrt(3))/2 i