What is the answer to |z|^2z^2=1 ?

The answer to |z|^2z^2=1 is z=-1\lor z=1

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|z|^2z^2=1

∣ z ∣^{2} z^{2} = 1

z = - 1 or z = 1

Solution steps

∣ z ∣^{2} z^{2} = 1

Find positive and negative intervals

z < 0, z \geq 0

Solve the inequality for each interval

z = - 1 or z = 1

x^{2} + 4 x + 3 + 2 x + 5 = 0

∣ 3 x + 7 - 5 x ∣ = 4

- 5 - 2 ∣ x - 2 ∣ = 6

∣ 1 - z ∣ = 1, ∣ z ∣ = 1

∣ - 5 (x - 3) ∣ = 30