What is the answer to 204=|z-300|+4 ?

The answer to 204=|z-300|+4 is z=100\lor z=500

Solve for z: 204=|z-300|+4

The solution is z=100\lor z=500

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

204 = ∣ z - 300 ∣ + 4

z = 100 or z = 500

Solution steps

204 = ∣ z - 300 ∣ + 4

Switch sides

∣ z - 300 ∣ + 4 = 204

Move

4

to the right side

∣ z - 300 ∣ = 200

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

z - 300 = - 200 or z - 300 = 200

z - 300 = - 200 or z - 300 = 200

z = 100 or z = 500

∣ p - 4 ∣ = 5

3 ∣ 2 x - 3 ∣ + 1 = 16

2 + 6 ∣ - 4 x - 4 ∣ = - 10

- 4 = ∣ n + 2 ∣

∣ 4 n - 15 ∣ = n

What is the answer to 204=|z-300|+4 ?
The answer to 204=|z-300|+4 is z=100\lor z=500
Solve for z: 204=|z-300|+4
The solution is z=100\lor z=500