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

The solutions to the equation x^3-2x=x^2 are x=0,x=-1,x=2

Find the zeros of x^3-2x=x^2

The zeros of x^3-2x=x^2 are x=0,x=-1,x=2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

x = 0, x = - 1, x = 2

Solution steps

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

Move

x^{2}

to the left side

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

Factor

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

x (x + 1) (x - 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 1 = 0 or x - 2 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x - 2 = 0 : x = 2

The solutions are

x = 0, x = - 1, x = 2

1 x^{3} - 2 x^{2} - 5 x + 6 = 0

- 38 = - 3 y^{3} + 7

x^{3} - 4 x^{2} + 4 x + 16 = 0

12 x^{3} - 48 x^{2} + 48 x = 0

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

What are the solutions to the equation x^3-2x=x^2 ?
The solutions to the equation x^3-2x=x^2 are x=0,x=-1,x=2
Find the zeros of x^3-2x=x^2
The zeros of x^3-2x=x^2 are x=0,x=-1,x=2