What is the answer to |x^2-4|=2-x ?

The answer to |x^2-4|=2-x is x=-3\lor x=-1\lor x=2

Solve for x: |x^2-4|=2-x

The solution is x=-3\lor x=-1\lor x=2

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x^{2} - 4 = 2 - x

x = - 3 or x = - 1 or x = 2

Solution steps

x^{2} - 4 = 2 - x

Find positive and negative intervals

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

Solve the inequality for each interval

x = - 3 or x = - 1 or x = 2

- x = 1 - ∣ x - 1 ∣

∣ 3 x - 5 ∣ - 6 = 4

∣ x - 1 ∣ + ∣ 2 x - 6 ∣ = 5

∣ 1 - 5 x ∣ = 29

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

What is the answer to |x^2-4|=2-x ?
The answer to |x^2-4|=2-x is x=-3\lor x=-1\lor x=2
Solve for x: |x^2-4|=2-x
The solution is x=-3\lor x=-1\lor x=2