What are the solutions to the equation 4x^4=256x ?

The solutions to the equation 4x^4=256x are x=0,x=4,x=-2+2sqrt(3)i,x=-2-2sqrt(3)i

Find the zeros of 4x^4=256x

The zeros of 4x^4=256x are x=0,x=4,x=-2+2sqrt(3)i,x=-2-2sqrt(3)i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4 x^{4} = 256 x

x = 0, x = 4, x = - 2 + 23 i, x = - 2 - 23 i

Solution steps

4 x^{4} = 256 x

Move

256 x

to the left side

4 x^{4} - 256 x = 0

Factor

4 x^{4} - 256 x : 4 x (x - 4) (x^{2} + 4 x + 16)

4 x (x - 4) (x^{2} + 4 x + 16) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 4 = 0 or x^{2} + 4 x + 16 = 0

Solve

x - 4 = 0 : x = 4

Solve

x^{2} + 4 x + 16 = 0 : x = - 2 + 23 i, x = - 2 - 23 i

The solutions are

x = 0, x = 4, x = - 2 + 23 i, x = - 2 - 23 i

(3 x + 7) (x^{2} - 100) = 0

- 3 x^{4} + 4 x^{2} + 8 x + 4 = 0

y^{3} + y^{2} = 36 y + 36

1031 = x^{5} + x + 3

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

What are the solutions to the equation 4x^4=256x ?
The solutions to the equation 4x^4=256x are x=0,x=4,x=-2+2sqrt(3)i,x=-2-2sqrt(3)i
Find the zeros of 4x^4=256x
The zeros of 4x^4=256x are x=0,x=4,x=-2+2sqrt(3)i,x=-2-2sqrt(3)i