What are the solutions to the equation z^3+4z^2+6z+4=0 ?

The solutions to the equation z^3+4z^2+6z+4=0 are z=-2,z=-1+i,z=-1-i

Find the zeros of z^3+4z^2+6z+4=0

The zeros of z^3+4z^2+6z+4=0 are z=-2,z=-1+i,z=-1-i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

z^{3} + 4 z^{2} + 6 z + 4 = 0

z = - 2, z = - 1 + i, z = - 1 - i

Solution steps

z^{3} + 4 z^{2} + 6 z + 4 = 0

Factor

z^{3} + 4 z^{2} + 6 z + 4 : (z + 2) (z^{2} + 2 z + 2)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

z + 2 = 0 : z = - 2

Solve

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

The solutions are

z = - 2, z = - 1 + i, z = - 1 - i

- a^{3} + 6 a^{2} + 135 a + 400 = 0

(8 n)^{3} = 8^{6}

- x^{3} - 3 x + 65 = 0

6 x^{4} - 13 x^{2} + 5 = 0

x^{4} - 5 = 0

What are the solutions to the equation z^3+4z^2+6z+4=0 ?
The solutions to the equation z^3+4z^2+6z+4=0 are z=-2,z=-1+i,z=-1-i
Find the zeros of z^3+4z^2+6z+4=0
The zeros of z^3+4z^2+6z+4=0 are z=-2,z=-1+i,z=-1-i