What is the answer to 4|k|-6=4 ?

The answer to 4|k|-6=4 is k=-5/2 \lor k= 5/2

Solve for k: 4|k|-6=4

The solution is k=-5/2 \lor k= 5/2

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4 ∣ k ∣ - 6 = 4

k = - \frac{5}{2} or k = \frac{5}{2}

Decimal Notation

k = - 2.5, k = 2.5

Solution steps

4 ∣ k ∣ - 6 = 4

Move

6

to the right side

4 ∣ k ∣ = 10

Divide both sides by

4

∣ k ∣ = \frac{5}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

k = - \frac{5}{2} or k = \frac{5}{2}

∣ 6 y + 3 ∣ = 9

- 2 + ∣ x + 3 ∣ = 2

∣ x - 8 ∣ - 8 = 14

- 3 ∣ 3 t - 4 ∣ - 12 = 6

∣ n ∣ + 2 = 11