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

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

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|z-z^1|=|z-z^2|

z - z^{1} = z - z^{2}

z = 0 or z = 1

Solution steps

z - z^{1} = z - z^{2}

Find positive and negative intervals

z < 0, 0 \leq z \leq 1, z > 1

Solve the inequality for each interval

No Solution or (z = 0 or z = 1)

z = 0 or z = 1

∣ - 5 x - 7 ∣ = 2

7 = ∣ a ∣

∣ 3.2 x - 4 ∣ = - 5.7

3 - ∣ 5 x - 1 ∣ = - 2 x + 3

∣ 7 x + 2 ∣ + 35 = 30

What is the answer to |z-z^1|=|z-z^2| ?
The answer to |z-z^1|=|z-z^2| is z=0\lor z=1
Solve for z: |z-z^1|=|z-z^2|
The solution is z=0\lor z=1