What is the answer to 16=2|z|+1 ?

The answer to 16=2|z|+1 is z=-15/2 \lor z= 15/2

Solve for z: 16=2|z|+1

The solution is z=-15/2 \lor z= 15/2

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16 = 2 ∣ z ∣ + 1

z = - \frac{15}{2} or z = \frac{15}{2}

Decimal

z = - 7.5, z = 7.5

Solution steps

16 = 2 ∣ z ∣ + 1

Switch sides

2 ∣ z ∣ + 1 = 16

Move

1

to the right side

2 ∣ z ∣ = 15

Divide both sides by

2

∣ z ∣ = \frac{15}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

z = - \frac{15}{2} or z = \frac{15}{2}

∣ 7 - 7 x ∣ = 0

∣ x + 4 ∣ = ∣ x - 6 ∣

∣ 4 - 2 x ∣ = 2 x + 1

1 - 2 ∣ 3 x - 1 ∣ = - 4

∣ x + 2 ∣ = 3 ∣

What is the answer to 16=2|z|+1 ?
The answer to 16=2|z|+1 is z=-15/2 \lor z= 15/2
Solve for z: 16=2|z|+1
The solution is z=-15/2 \lor z= 15/2