What is the answer to 2x|x|=6 ?

The answer to 2x|x|=6 is x=sqrt(3)

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2x|x|=6

2 x ∣ x ∣ = 6

x = 3

Decimal Notation

x = 1.73205 \dots

Solution steps

2 x ∣ x ∣ = 6

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

No Solution or x = 3

x = 3

x^{2} - 5 x = 9 - 5 x

∣ 2 x - 5 ∣ + 3 = 1

∣ 2 x - 5 ∣ + 3 = 3

∣ 7 + m ∣ = 9

∣ a + 4 ∣ = - a + 8