What are the solutions to the equation x^3-27x=0 ?

The solutions to the equation x^3-27x=0 are x=0,x=-3sqrt(3),x=3sqrt(3)

Find the zeros of x^3-27x=0

The zeros of x^3-27x=0 are x=0,x=-3sqrt(3),x=3sqrt(3)

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x^{3} - 27 x = 0

x = 0, x = - 33, x = 33

Decimal Notation

x = 0, x = - 5.19615 \dots, x = 5.19615 \dots

Solution steps

x^{3} - 27 x = 0

Factor

x^{3} - 27 x : x (x + 33) (x - 33)

x (x + 33) (x - 33) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 33 = 0 or x - 33 = 0

Solve

x + 33 = 0 : x = - 33

Solve

x - 33 = 0 : x = 33

The solutions are

x = 0, x = - 33, x = 33

z^{6} - 12 = 0

- λ^{3} + 12 λ^{2} - 21 λ + 10 = 0

x^{4} + 2 x^{3} - 11 x^{2} - 12 x + 36 = 0

x^{2} + x^{10} = 0

4 \cdot x^{3} = 32

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