What is the answer to |z+8|=|z-5| ?

The answer to |z+8|=|z-5| is z=-3/2

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|z+8|=|z-5|

∣ z + 8 ∣ = ∣ z - 5 ∣

z = - \frac{3}{2}

Decimal Notation

z = - 1.5

Solution steps

∣ z + 8 ∣ = ∣ z - 5 ∣

Find positive and negative intervals

z < - 8, - 8 \leq z < 5, z \geq 5

Solve the inequality for each interval

No Solution or z = - \frac{3}{2}

z = - \frac{3}{2}

m^{2} - 10 m + 16

25 x^{2} - 10 x + 1 = 0

9 (x^{2} - 4) + 5 = 18

2 (x + 3) + 8 = 3 (x - 1) + 15

h^{2} - 21 h - 18 = 0