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

The answer to z^2=|z| is z=-1\lor z=0\lor z=1

The solution is z=-1\lor z=0\lor z=1

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z^2=|z|

z^{2} = ∣ z ∣

z = - 1 or z = 0 or z = 1

Solution steps

z^{2} = ∣ z ∣

Find positive and negative intervals

z < 0, z \geq 0

Solve the inequality for each interval

z = - 1 or (z = 0 or z = 1)

z = - 1 or z = 0 or z = 1

∣ x - 0 ∣ = 2

∣ x - 0 ∣ = 0

∣ x - 0 ∣ = 3

∣ 12 a + 5 ∣ + 4 = 5

5 ∣ x - 3 ∣ = - 45