What is the answer to |1-z|=1,|z|=1 ?

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

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|1-z|=1,|z|=1

∣ 1 - z ∣ = 1, ∣ z ∣ = 1

z = 0 or z = 2

Solution steps

∣ 1 - z ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

z = 0 or z = 2

∣ - 5 (x - 3) ∣ = 30

∣ 7 x + 4 ∣ = x + 2

1 ∣ x + 2 ∣ = 2 (3 - x)

lo g_{2} (x - 6) = 6

ln (x) = - 1

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