What is the answer to |X+2|2=(|X|+2)2 ?

The answer to |X+2|2=(|X|+2)2 is X>= 0

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|X+2|2=(|X|+2)2

∣ X + 2 ∣ 2 = (∣ X ∣ + 2) 2

X \geq 0

Solution steps

∣ X + 2 ∣ \cdot 2 = (∣ X ∣ + 2) \cdot 2

Find positive and negative intervals

X < - 2, - 2 \leq X < 0, X \geq 0

Solve the inequality for each interval

No Solution or X \geq 0

Merge Overlapping Intervals

X \geq 0

∣ 7 r - 3 ∣ = ∣ 4 r + 15 ∣

∣ 5 x - 9 ∣ - 8 = - 1

\frac{∣ x + 1 ∣}{3} = 3

2 ∣ 5 x - 4 ∣ - 5 = 9

∣ 7 x ∣ = 12