What are the solutions to the equation z^4=-2+0i ?

The solutions to the equation z^4=-2+0i are

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

z^4=-2+0i

z^{4} = - 2 + 0 i

Solution steps

z^{4} = - 2 + 0 i

Simplify

- 2 + 0 i : - 2

Rewrite the equation with

u = z^{2}

and

u^{2} = z^{4}

u^{2} = - 2

Solve

u^{2} = - 2 : u = 2 i, u = - 2 i

u = 2 i, u = - 2 i

Substitute back

u = z^{2},

solve for

z

Solve

The solutions are

x^{3} - 4 x^{2} + 5 x - 2

4 x^{3} - 16 = 0

5 x^{3} = 6 x^{2}

x^{3} - 5 x^{2} + 2 x + 5

3^{5} \cdot 7^{5} = e^{5}

What are the solutions to the equation z^4=-2+0i ?
The solutions to the equation z^4=-2+0i are
Find the zeros of z^4=-2+0i
The zeros of z^4=-2+0i are