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

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

Find the zeros of x+x^4=0

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x + x^{4} = 0

x = 0, x = - 1, x = \frac{1}{2} - \frac{3}{2} i, x = \frac{1}{2} + \frac{3}{2} i

Solution steps

x + x^{4} = 0

Factor

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

x (x^{3} + 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{3} + 1 = 0

Solve

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

The solutions are

x = 0, x = - 1, x = \frac{1}{2} - \frac{3}{2} i, x = \frac{1}{2} + \frac{3}{2} i

- x^{3} + 12 \cdot x + 16 = 0

a^{3} - 1 = 7

2 x^{3} - 6 x^{2} + 3 = 0

z^{3} + 27 i = 0

x^{4} + x^{3} + x^{2} + 1 = 0

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