What is the answer to |z|=z+1 ?

The answer to |z|=z+1 is z=-1/2

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|z|=z+1

∣ z ∣ = z + 1

z = - \frac{1}{2}

Decimal

z = - 0.5

Solution steps

∣ z ∣ = z + 1

Find positive and negative intervals

z < 0, z \geq 0

Solve the inequality for each interval

z = - \frac{1}{2} or No Solution

z = - \frac{1}{2}

\frac{∣ 3 - 6 w ∣}{5} - 16 = - 7

u, ∣ 4 u + 8 ∣ - 7 = - 43

∣ 2 x - 1 ∣ = 2 ∣ 3 - x ∣

4 x + \frac{1}{3} = 20

∣ z - 1 ∣ + ∣ 2 - z ∣ = 12