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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{5} + 8 x^{2} = 0

x = 0, x = - 2, x = 1 - 3 i, x = 1 + 3 i

Solution steps

x^{5} + 8 x^{2} = 0

Factor

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

x^{2} (x^{3} + 8) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{3} + 8 = 0

Solve

x^{3} + 8 = 0 : x = - 2, x = 1 - 3 i, x = 1 + 3 i

The solutions are

x = 0, x = - 2, x = 1 - 3 i, x = 1 + 3 i

- 27 = x^{3}

- 2 x (x + 2) (x^{2} - 15) = 0

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

x^{3} - 2 x^{2} - 19 x + 20 = 0

x^{3} - 4 x^{2} = 21 x

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