What are the solutions to the equation 2x^4=1024x ?

The solutions to the equation 2x^4=1024x are x=0,x=8,x=-4+4sqrt(3)i,x=-4-4sqrt(3)i

Find the zeros of 2x^4=1024x

The zeros of 2x^4=1024x are x=0,x=8,x=-4+4sqrt(3)i,x=-4-4sqrt(3)i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2 x^{4} = 1024 x

x = 0, x = 8, x = - 4 + 43 i, x = - 4 - 43 i

Solution steps

2 x^{4} = 1024 x

Move

1024 x

to the left side

2 x^{4} - 1024 x = 0

Factor

2 x^{4} - 1024 x : 2 x (x - 8) (x^{2} + 8 x + 64)

2 x (x - 8) (x^{2} + 8 x + 64) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 8 = 0 or x^{2} + 8 x + 64 = 0

Solve

x - 8 = 0 : x = 8

Solve

x^{2} + 8 x + 64 = 0 : x = - 4 + 43 i, x = - 4 - 43 i

The solutions are

x = 0, x = 8, x = - 4 + 43 i, x = - 4 - 43 i

2 x^{3} - 1 = x^{6} - 1

x^{3} - 8 i = 0

x^{6} - 6 x^{4} + 8 x^{2} = 0

y^{4} - 5 y^{2} + 6 = 0

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

What are the solutions to the equation 2x^4=1024x ?
The solutions to the equation 2x^4=1024x are x=0,x=8,x=-4+4sqrt(3)i,x=-4-4sqrt(3)i
Find the zeros of 2x^4=1024x
The zeros of 2x^4=1024x are x=0,x=8,x=-4+4sqrt(3)i,x=-4-4sqrt(3)i