What is the answer to 2x^2+|x|-6=0 ?

The answer to 2x^2+|x|-6=0 is x=-3/2 \lor x= 3/2

Solve for x: 2x^2+|x|-6=0

The solution is x=-3/2 \lor x= 3/2

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2 x^{2} + ∣ x ∣ - 6 = 0

x = - \frac{3}{2} or x = \frac{3}{2}

Decimal Notation

x = - 1.5, x = 1.5

Solution steps

2 x^{2} + ∣ x ∣ - 6 = 0

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

x = - \frac{3}{2} or x = \frac{3}{2}

∣ 1 + 5 x ∣ = - 3

∣ x + 3 ∣ = 2 (5 - x)

∣ x ∣ + ∣ x + 1 ∣ + ∣ x + 2 ∣ = 0

∣ 5 x - 1 ∣ = ∣ 9 x + 3 ∣

∣ x + 2 ∣ + 4 = 11

What is the answer to 2x^2+|x|-6=0 ?
The answer to 2x^2+|x|-6=0 is x=-3/2 \lor x= 3/2
Solve for x: 2x^2+|x|-6=0
The solution is x=-3/2 \lor x= 3/2