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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

x = 0, x = - 1, x = i, x = - i

Solution steps

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

Factor

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

x (x + 1) (x^{2} + 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 1 = 0 or x^{2} + 1 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x^{2} + 1 = 0 : x = i, x = - i

The solutions are

x = 0, x = - 1, x = i, x = - i

27 x^{3} - 1 = 0

4 x^{2} - 9 = (2 x^{3}) (2 x - 3)

4 x^{4} - 64 x^{2} = 0

8 x^{3} = (- 2 x) (A)

9 x^{3} - 18 x^{2} - 4 x + 8 = 0

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