What are the solutions to the equation x(x^2-2)=0 ?

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

Find the zeros of x(x^2-2)=0

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

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x (x^{2} - 2) = 0

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

Decimal Notation

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

Solution steps

x (x^{2} - 2) = 0

Factor

x (x^{2} - 2) : 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

- 7 x^{3} - 6 x = 8

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

(r - 1) (r + 1)^{4} = 0

a^{3} + a^{2} = 64 a + 64

x^{5} - x^{3} + x - 2 = 0

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