What is the answer to (n|n|)/2 =22 ?

The answer to (n|n|)/2 =22 is n=2sqrt(11)

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(n|n|)/2 =22

\frac{n ∣ n ∣}{2} = 22

n = 211

Decimal Notation

n = 6.63324 \dots

Solution steps

\frac{n ∣ n ∣}{2} = 22

Find positive and negative intervals

n < 0, n \geq 0

Solve the inequality for each interval

No Solution or n = 211

n = 211

2 ∣ 10 x ∣ + 3 = 17

- x + ∣ - x ∣ = 0

11 - ∣ 8 x + 3 ∣ + 1 = - 15

- 8 = 2 ∣ f - 6 ∣

∣ X - 6 ∣ = 1