What are the solutions to the equation x^3-10x=0 ?

The solutions to the equation x^3-10x=0 are x=0,x=-sqrt(10),x=sqrt(10)

Find the zeros of x^3-10x=0

The zeros of x^3-10x=0 are x=0,x=-sqrt(10),x=sqrt(10)

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x^{3} - 10 x = 0

x = 0, x = - 10, x = 10

Solution steps

x^{3} - 10 x = 0

Factor

x^{3} - 10 x : x (x + 10) (x - 10)

x (x + 10) (x - 10) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 10 = 0 or x - 10 = 0

Solve

x + 10 = 0 : x = - 10

Solve

x - 10 = 0 : x = 10

The solutions are

x = 0, x = - 10, x = 10

x^{3} - 6 x^{2} + 9 x - 2 = 0

x^{3} - 9 x^{2} + 4 = 0

4 x^{3} + 4 x^{2} - 7 x + 2 = 0

2 t^{4} + 4 t^{3} - 4 t^{2} = 0

16 x - 64 x^{3} = 0

What are the solutions to the equation x^3-10x=0 ?
The solutions to the equation x^3-10x=0 are x=0,x=-sqrt(10),x=sqrt(10)
Find the zeros of x^3-10x=0
The zeros of x^3-10x=0 are x=0,x=-sqrt(10),x=sqrt(10)