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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

m = 0, m = - 1 + i, m = - 1 - i

Solution steps

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

Factor

m^{4} + 2 m^{3} + 2 m^{2} : m^{2} (m^{2} + 2 m + 2)

m^{2} (m^{2} + 2 m + 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

m = 0 or m^{2} + 2 m + 2 = 0

Solve

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

The solutions are

m = 0, m = - 1 + i, m = - 1 - i

x^{3} + x^{2} - x - 10 = 0

(x + 2) (2 x^{2} - 5 x) - x^{3} = 8

x, x^{3} + y^{3} + z^{3} = k^{1} - 100

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

x^{5} + 4 x^{3} = 5 x

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