What is the answer to |x+5|3=1 ?

The answer to |x+5|3=1 is x=-16/3 \lor x=-14/3

Solve for x: |x+5|3=1

The solution is x=-16/3 \lor x=-14/3

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∣ x + 5 ∣ 3 = 1

x = - \frac{16}{3} or x = - \frac{14}{3}

Decimal Notation

x = - 5.33333 \dots, x = - 4.66666 \dots

Solution steps

∣ x + 5 ∣ \cdot 3 = 1

Divide both sides by

3

∣ x + 5 ∣ = \frac{1}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 5 = - \frac{1}{3} or x + 5 = \frac{1}{3}

x + 5 = - \frac{1}{3} or x + 5 = \frac{1}{3}

x = - \frac{16}{3} or x = - \frac{14}{3}

\frac{∣ x ∣}{5 - 3} = 4

∣ 8 x + 5 ∣ + 5 = 3

∣ x ∣ - 2^{x} = 0

\frac{z}{6} + 2 = - 18

- 6 ∣ w + 10 ∣ = 0