What is the answer to |x-1||x^2-2|=2 ?

The answer to |x-1||x^2-2|=2 is x=-1.65896…\lor x=-1\lor x=0\lor x=2

Solve for x: |x-1||x^2-2|=2

The solution is x=-1.65896…\lor x=-1\lor x=0\lor x=2

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∣ x - 1 ∣ x^{2} - 2 = 2

x = - 1.65896 \dots or x = - 1 or x = 0 or x = 2

Solution steps

∣ x - 1 ∣ x^{2} - 2 = 2

Find positive and negative intervals

x \leq - 2, - 2 < x < 1, 1 \leq x < 2, x \geq 2

Solve the inequality for each interval

x = - 1.65896 \dots or (x = - 1 or x = 0) or No Solution or x = 2

x = - 1.65896 \dots or x = - 1 or x = 0 or x = 2

∣ 6 x - 16 ∣ = ∣ 3 x + 13 ∣

\frac{+ k}{- 2} = + 1

∣ x - 3.5 ∣ = 0

∣ x ∣ + ∣ x - 1 ∣ + ∣ x + 2 ∣ = 3

∣ x + 1 ∣ + ∣ x - 3 ∣ = 3 x - 4

What is the answer to |x-1||x^2-2|=2 ?
The answer to |x-1||x^2-2|=2 is x=-1.65896…\lor x=-1\lor x=0\lor x=2
Solve for x: |x-1||x^2-2|=2
The solution is x=-1.65896…\lor x=-1\lor x=0\lor x=2