What is the answer to |z-3|-|z+3|=4 ?

The answer to |z-3|-|z+3|=4 is z=-2

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|z-3|-|z+3|=4

∣ z - 3 ∣ - ∣ z + 3 ∣ = 4

z = - 2

Solution steps

∣ z - 3 ∣ - ∣ z + 3 ∣ = 4

Find positive and negative intervals

z < - 3, - 3 \leq z < 3, z \geq 3

Solve the inequality for each interval

No Solution or z = - 2

z = - 2

9 + ∣ r + 4 ∣ = 17

5 ∣ 9 - 5 n ∣ 7 = 38

∣ m - 6 ∣ = 5

∣ X - 5 ∣ + ∣ X + 2 ∣ = 7

∣ y ∣ + 6 = 12