What are the solutions to the equation (z^2+25)^2=0 ?

The solutions to the equation (z^2+25)^2=0 are z=5i,z=-5i

Find the zeros of (z^2+25)^2=0

The zeros of (z^2+25)^2=0 are z=5i,z=-5i

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(z^{2} + 25)^{2} = 0

z = 5 i, z = - 5 i

Solution steps

(z^{2} + 25)^{2} = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

Solve

z^{2} + 25 = 0 : z = 5 i, z = - 5 i

The solutions are

z = 5 i, z = - 5 i

x^{4} - x^{2} + 1 = 0

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

8 x^{4} = x

x^{5} + (2 - x)^{5} = 82

x^{3} - 5 x^{2} + 6 x = 0

What are the solutions to the equation (z^2+25)^2=0 ?
The solutions to the equation (z^2+25)^2=0 are z=5i,z=-5i
Find the zeros of (z^2+25)^2=0
The zeros of (z^2+25)^2=0 are z=5i,z=-5i