What is the answer to |z-4|=|z+9| ?

The answer to |z-4|=|z+9| is z=-5/2

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|z-4|=|z+9|

∣ z - 4 ∣ = ∣ z + 9 ∣

z = - \frac{5}{2}

Decimal

z = - 2.5

Solution steps

∣ z - 4 ∣ = ∣ z + 9 ∣

Find positive and negative intervals

z < - 9, - 9 \leq z < 4, z \geq 4

Solve the inequality for each interval

No Solution or z = - \frac{5}{2}

z = - \frac{5}{2}

4 ∣ 2 y - 3 ∣ - 1 = 11

4 ∣ x - 1 ∣ = 16 x - 32

11 ∣ 4 x ∣ x + 2 ∣ + 3 ∣ = 16

∣ 2 x - 1 ∣ + ∣ x + 2 ∣ = 4

b (x) = ∣ x - 1 ∣ + 5