What are the solutions to the equation (z^2+5)^3=0 ?

The solutions to the equation (z^2+5)^3=0 are z=sqrt(5)i,z=-sqrt(5)i

Find the zeros of (z^2+5)^3=0

The zeros of (z^2+5)^3=0 are z=sqrt(5)i,z=-sqrt(5)i

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(z^{2} + 5)^{3} = 0

z = 5 i, z = - 5 i

Solution steps

(z^{2} + 5)^{3} = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

Solve

z^{2} + 5 = 0 : z = 5 i, z = - 5 i

The solutions are

z = 5 i, z = - 5 i

- 3 x^{3} - 7 x^{2} - 12 x - 28 = 0

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

- 2 x^{3} + 2 x^{2} - 8 x + 7 = 0

2 x^{3} + 3 x^{2} - 8 x - 3 = 0

x, 9 y = x^{3}

What are the solutions to the equation (z^2+5)^3=0 ?
The solutions to the equation (z^2+5)^3=0 are z=sqrt(5)i,z=-sqrt(5)i
Find the zeros of (z^2+5)^3=0
The zeros of (z^2+5)^3=0 are z=sqrt(5)i,z=-sqrt(5)i