What are the solutions to the equation z^4=121 ?

The solutions to the equation z^4=121 are z=sqrt(11),z=-sqrt(11),z=sqrt(11)i,z=-sqrt(11)i

Find the zeros of z^4=121

The zeros of z^4=121 are z=sqrt(11),z=-sqrt(11),z=sqrt(11)i,z=-sqrt(11)i

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z^{4} = 121

z = 11, z = - 11, z = 11 i, z = - 11 i

Solution steps

z^{4} = 121

Rewrite the equation with

u = z^{2}

and

u^{2} = z^{4}

u^{2} = 121

Solve

u^{2} = 121 : u = 121, u = - 121

u = 121, u = - 121

Substitute back

u = z^{2},

solve for

z

Solve

z^{2} = 121 : z = 11, z = - 11

Solve

z^{2} = - 121 : z = 11 i, z = - 11 i

The solutions are

z = 11, z = - 11, z = 11 i, z = - 11 i

x, x^{5} = a^{3}

x^{3} - 6 x^{2} + 12 x - 6 = 0

0 = - 0.015 x^{3} + 1.058 x

p^{4} - 5 p^{2} = - 4

x^{3} - 4 x^{2} + 7 x = 0

What are the solutions to the equation z^4=121 ?
The solutions to the equation z^4=121 are z=sqrt(11),z=-sqrt(11),z=sqrt(11)i,z=-sqrt(11)i
Find the zeros of z^4=121
The zeros of z^4=121 are z=sqrt(11),z=-sqrt(11),z=sqrt(11)i,z=-sqrt(11)i