What are the solutions to the equation x^5-2x^4+5x^3-8x^2+4x=0 ?

The solutions to the equation x^5-2x^4+5x^3-8x^2+4x=0 are x=0,x=1,x=2i,x=-2i

Find the zeros of x^5-2x^4+5x^3-8x^2+4x=0

The zeros of x^5-2x^4+5x^3-8x^2+4x=0 are x=0,x=1,x=2i,x=-2i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{5} - 2 x^{4} + 5 x^{3} - 8 x^{2} + 4 x = 0

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

Solution steps

x^{5} - 2 x^{4} + 5 x^{3} - 8 x^{2} + 4 x = 0

Factor

x^{5} - 2 x^{4} + 5 x^{3} - 8 x^{2} + 4 x : x (x - 1)^{2} (x^{2} + 4)

x (x - 1)^{2} (x^{2} + 4) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 1 = 0 or x^{2} + 4 = 0

Solve

x - 1 = 0 : x = 1

Solve

x^{2} + 4 = 0 : x = 2 i, x = - 2 i

The solutions are

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

8 x^{7} - 56 x^{6} = 0

x^{4} + 6 x^{3} + 18 x^{2} + 30 x + 25 = 0

z^{3} - 6 z - 4 = 0

(10 x + 1) + (5 x^{29}) = 180

240 x - 60 x^{3} = 0

What are the solutions to the equation x^5-2x^4+5x^3-8x^2+4x=0 ?
The solutions to the equation x^5-2x^4+5x^3-8x^2+4x=0 are x=0,x=1,x=2i,x=-2i
Find the zeros of x^5-2x^4+5x^3-8x^2+4x=0
The zeros of x^5-2x^4+5x^3-8x^2+4x=0 are x=0,x=1,x=2i,x=-2i