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

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

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|x-2|=|x^2+2x+4|

∣ x - 2 ∣ = x^{2} + 2 x + 4

x = - 2 or x = - 1

Solution steps

∣ x - 2 ∣ = x^{2} + 2 x + 4

Find positive and negative intervals

x < 2, x \geq 2

Solve the inequality for each interval

(x = - 2 or x = - 1) or No Solution

x = - 2 or x = - 1

\frac{3}{2} ∣ x ∣ = 15 x

2 - x = ∣ 3 x - 1 ∣

0.75 = ∣ x - 145 ∣

5 x - ∣ x - 3 ∣ x = - 5

1 - 2 x^{2} = 4

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