What is the answer to |z-1|+|z+1|=4 ?

The answer to |z-1|+|z+1|=4 is z=-2\lor z=2

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|z-1|+|z+1|=4

∣ z - 1 ∣ + ∣ z + 1 ∣ = 4

z = - 2 or z = 2

Solution steps

∣ z - 1 ∣ + ∣ z + 1 ∣ = 4

Find positive and negative intervals

z < - 1, - 1 \leq z < 1, z \geq 1

Solve the inequality for each interval

z = - 2 or No Solution or z = 2

z = - 2 or z = 2

∣ 7 x + 10 ∣ = 14

∣ x - 1 ∣ + 8 = 2

- 3 1 - \frac{2}{3} v = - 9

3 = ∣ m + 2 ∣

∣ x - 9 ∣ = 3

What is the answer to |z-1|+|z+1|=4 ?
The answer to |z-1|+|z+1|=4 is z=-2\lor z=2
Solve for z: |z-1|+|z+1|=4
The solution is z=-2\lor z=2