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

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

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|x-2|=x^2+2x+2

∣ x - 2 ∣ = x^{2} + 2 x + 2

x = - 3 or x = 0

Solution steps

∣ x - 2 ∣ = x^{2} + 2 x + 2

Find positive and negative intervals

x < 2, x \geq 2

Solve the inequality for each interval

(x = - 3 or x = 0) or No Solution

x = - 3 or x = 0

∣ 4 x - 4 ∣ - 10 = 2 x

∣ 4 x ∣ = 3 x + 21

2 ∣ x - 8 ∣ = 20

∣ x - 5 ∣ = - 9

∣ 3 x - 5 ∣ = - 10

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