What are the solutions to the equation solvefor z,z^4-9=0 ?

The solutions to the equation solvefor z,z^4-9=0 are z=sqrt(3),z=-sqrt(3),z=sqrt(3)i,z=-sqrt(3)i

Find the zeros of solvefor z,z^4-9=0

The zeros of solvefor z,z^4-9=0 are z=sqrt(3),z=-sqrt(3),z=sqrt(3)i,z=-sqrt(3)i

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solve for

z, z^{4} - 9 = 0

z = 3, z = - 3, z = 3 i, z = - 3 i

Solution steps

z^{4} - 9 = 0

Move

9

to the right side

z^{4} = 9

Rewrite the equation with

u = z^{2}

and

u^{2} = z^{4}

u^{2} = 9

Solve

u^{2} = 9 : u = 9, u = - 9

u = 9, u = - 9

Substitute back

u = z^{2},

solve for

z

Solve

z^{2} = 9 : z = 3, z = - 3

Solve

z^{2} = - 9 : z = 3 i, z = - 3 i

The solutions are

z = 3, z = - 3, z = 3 i, z = - 3 i

- (x - 1)^{3} = 8

- (x - 1)^{3} = 0

(p^{8})^{2} = p^{10}

50 = 4 x^{3} - 44 x^{2} + 120 x

2 x^{3} + 6 x = 1

What are the solutions to the equation solvefor z,z^4-9=0 ?
The solutions to the equation solvefor z,z^4-9=0 are z=sqrt(3),z=-sqrt(3),z=sqrt(3)i,z=-sqrt(3)i
Find the zeros of solvefor z,z^4-9=0
The zeros of solvefor z,z^4-9=0 are z=sqrt(3),z=-sqrt(3),z=sqrt(3)i,z=-sqrt(3)i