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

The answer to |z^2|=|z|^2 is True for all z

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|z^2|=|z|^2

z^{2} = ∣ z ∣^{2}

True for all z

Solution steps

z^{2} = ∣ z ∣^{2}

Find positive and negative intervals

z < 0, z \geq 0

Solve the inequality for each interval

z < 0 or z \geq 0

Merge Overlapping Intervals

True for all z

x^{2} - ∣ a - 1 ∣ x + 1 = ∣ x ∣

∣ x - 2016 ∣^{2017} + ∣ x - 2016 ∣^{2017} = 1

x^{2} - 7 x + 12 x = 1

∣ 2 x - 5 ∣ + ∣ 3 - 7 x ∣ = 16

∣ x - 2 ∣ + ∣ x - 3 ∣ = 5