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

The solutions to the equation 4x^3+2x=0 are x=0,x= 1/(sqrt(2))i,x=-1/(sqrt(2))i

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

The zeros of 4x^3+2x=0 are x=0,x= 1/(sqrt(2))i,x=-1/(sqrt(2))i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4 x^{3} + 2 x = 0

x = 0, x = \frac{1}{2} i, x = - \frac{1}{2} i

Solution steps

4 x^{3} + 2 x = 0

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

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

The solutions are

x = 0, x = \frac{1}{2} i, x = - \frac{1}{2} i

8 x^{4} - 72 x^{2} = 0

a^{3} = 70

3 x^{3} + 25 = x^{2} + 75 x

x^{5} + 32 = 0

(x - 3) (x + 2) (x - 1) = 0

What are the solutions to the equation 4x^3+2x=0 ?
The solutions to the equation 4x^3+2x=0 are x=0,x= 1/(sqrt(2))i,x=-1/(sqrt(2))i
Find the zeros of 4x^3+2x=0
The zeros of 4x^3+2x=0 are x=0,x= 1/(sqrt(2))i,x=-1/(sqrt(2))i