What are the solutions to the equation solvefor x,x^3-2x=0 ?

The solutions to the equation solvefor x,x^3-2x=0 are x=0,x=-sqrt(2),x=sqrt(2)

Find the zeros of solvefor x,x^3-2x=0

The zeros of solvefor x,x^3-2x=0 are x=0,x=-sqrt(2),x=sqrt(2)

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solve for

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

x = 0, x = - 2, x = 2

Decimal Notation

x = 0, x = - 1.41421 \dots, x = 1.41421 \dots

Solution steps

x^{3} - 2 x = 0

Factor

x^{3} - 2 x : x (x + 2) (x - 2)

x (x + 2) (x - 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 2 = 0 or x - 2 = 0

Solve

x + 2 = 0 : x = - 2

Solve

x - 2 = 0 : x = 2

The solutions are

x = 0, x = - 2, x = 2

- x^{3} + 11 x^{2} - 30 x = 0

x^{4} + 5 x^{2} + 4 x = 0

8 x^{4} - 8 x^{3} - 6 x^{2} = 0

x^{5} - 3 x + 9 = 0

x^{3} - 9 x^{2} + 33 x + 45 = 2

What are the solutions to the equation solvefor x,x^3-2x=0 ?
The solutions to the equation solvefor x,x^3-2x=0 are x=0,x=-sqrt(2),x=sqrt(2)
Find the zeros of solvefor x,x^3-2x=0
The zeros of solvefor x,x^3-2x=0 are x=0,x=-sqrt(2),x=sqrt(2)