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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

x = - 1, x = 1, x = 1 + i, x = 1 - i

Solution steps

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

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x + 1 = 0 : x = - 1

Solve

x - 1 = 0 : x = 1

Solve

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

The solutions are

x = - 1, x = 1, x = 1 + i, x = 1 - i

z, (a) z^{4} = 24 i - 7

(x^{2} + 2 x - 3)^{2} = 0

2 x^{2} - 4 x^{4} = 5

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

- 1 + v^{3} = - 3

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