What are the solutions to the equation x^4+64x=0 ?

The solutions to the equation x^4+64x=0 are x=0,x=-4,x=2-2sqrt(3)i,x=2+2sqrt(3)i

Find the zeros of x^4+64x=0

The zeros of x^4+64x=0 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 >

x^{4} + 64 x = 0

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

Solution steps

x^{4} + 64 x = 0

Factor

x^{4} + 64 x : x (x^{3} + 64)

x (x^{3} + 64) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{3} + 64 = 0

Solve

x^{3} + 64 = 0 : x = - 4, x = 2 - 23 i, x = 2 + 23 i

The solutions are

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

4 x = x (2 x - 4)^{2}

x^{4} + 13 x + 36 = 0

3 x^{3} + 2 x^{2} = 12 x + 8

x^{3} = 17

x^{3} + 3 x^{2} + 5 x + 15 = 0

What are the solutions to the equation x^4+64x=0 ?
The solutions to the equation x^4+64x=0 are x=0,x=-4,x=2-2sqrt(3)i,x=2+2sqrt(3)i
Find the zeros of x^4+64x=0
The zeros of x^4+64x=0 are x=0,x=-4,x=2-2sqrt(3)i,x=2+2sqrt(3)i