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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

Solution steps

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

Factor

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

x (x^{2} + 2 x + 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x^{2} + 2 x + 5 = 0 : x = - 1 + 2 i, x = - 1 - 2 i

The solutions are

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

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

x^{4} - 7 x^{3} + 17 x^{2} - 17 x + 6 = 0

3 x^{3} - x^{2} - 12 x + 4 = 0

y^{3} = 512

a^{3} - 3 a + 2 = 0

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