What are the solutions to the equation x^4-4x^3-x^2+4x=0 ?

The solutions to the equation x^4-4x^3-x^2+4x=0 are x=0,x=4,x=-1,x=1

Find the zeros of x^4-4x^3-x^2+4x=0

The zeros of x^4-4x^3-x^2+4x=0 are x=0,x=4,x=-1,x=1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

x = 0, x = 4, x = - 1, x = 1

Solution steps

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

Factor

x^{4} - 4 x^{3} - x^{2} + 4 x : x (x - 4) (x + 1) (x - 1)

x (x - 4) (x + 1) (x - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 4 = 0 or x + 1 = 0 or x - 1 = 0

Solve

x - 4 = 0 : x = 4

Solve

x + 1 = 0 : x = - 1

Solve

x - 1 = 0 : x = 1

The solutions are

x = 0, x = 4, x = - 1, x = 1

1 + 3 p > 10

11 x^{3} y^{3} + 55 x^{5} y

x^{2} + 12 x + 27 < 0

0^{3} + 2 (0)^{2} < (0)^{2} (0 + 2) - 3 (0 - 1)

What are the solutions to the equation x^4-4x^3-x^2+4x=0 ?
The solutions to the equation x^4-4x^3-x^2+4x=0 are x=0,x=4,x=-1,x=1
Find the zeros of x^4-4x^3-x^2+4x=0
The zeros of x^4-4x^3-x^2+4x=0 are x=0,x=4,x=-1,x=1