What is the answer to 250=|z-150| ?

The answer to 250=|z-150| is z=-100\lor z=400

Solve for z: 250=|z-150|

The solution is z=-100\lor z=400

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250 = ∣ z - 150 ∣

z = - 100 or z = 400

Solution steps

250 = ∣ z - 150 ∣

Switch sides

∣ z - 150 ∣ = 250

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

z - 150 = - 250 or z - 150 = 250

z - 150 = - 250 or z - 150 = 250

z = - 100 or z = 400

x^{2} - 4 x - 4 + 4 = 2 x

∣ 3 x - 7 ∣ = x + 3

x^{2} + 3 ∣ x - 1 ∣ = 0

∣ 3 x - 2 ∣ + 4 = 10

∣ 3 x ∣ + 5 = 20

What is the answer to 250=|z-150| ?
The answer to 250=|z-150| is z=-100\lor z=400
Solve for z: 250=|z-150|
The solution is z=-100\lor z=400