What are the solutions to the equation x^4-6x^3+11x^2-6x=0 ?

The solutions to the equation x^4-6x^3+11x^2-6x=0 are x=0,x=1,x=2,x=3

Find the zeros of x^4-6x^3+11x^2-6x=0

The zeros of x^4-6x^3+11x^2-6x=0 are x=0,x=1,x=2,x=3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{4} - 6 x^{3} + 11 x^{2} - 6 x = 0

x = 0, x = 1, x = 2, x = 3

Solution steps

x^{4} - 6 x^{3} + 11 x^{2} - 6 x = 0

Factor

x^{4} - 6 x^{3} + 11 x^{2} - 6 x : x (x - 1) (x - 2) (x - 3)

x (x - 1) (x - 2) (x - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 1 = 0 or x - 2 = 0 or x - 3 = 0

Solve

x - 1 = 0 : x = 1

Solve

x - 2 = 0 : x = 2

Solve

x - 3 = 0 : x = 3

The solutions are

x = 0, x = 1, x = 2, x = 3

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

- x^{4} + x^{2} + 12 = 0

x^{4} - 1 7^{2} + 16 = 0

0 = x^{6} - 7 x^{4} - 8 x^{2}

600 = 6 x^{10}

What are the solutions to the equation x^4-6x^3+11x^2-6x=0 ?
The solutions to the equation x^4-6x^3+11x^2-6x=0 are x=0,x=1,x=2,x=3
Find the zeros of x^4-6x^3+11x^2-6x=0
The zeros of x^4-6x^3+11x^2-6x=0 are x=0,x=1,x=2,x=3