What is the answer to |x+2|+|x^2-3x+2|=4 ?

The answer to |x+2|+|x^2-3x+2|=4 is x=0\lor x=2

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|x+2|+|x^2-3x+2|=4

∣ x + 2 ∣ + x^{2} - 3 x + 2 = 4

x = 0 or x = 2

Solution steps

∣ x + 2 ∣ + x^{2} - 3 x + 2 = 4

Find positive and negative intervals

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

Solve the inequality for each interval

No Solution or x = 0 or x = 2

x = 0 or x = 2

x^{2} - 2 x = 2

\frac{6 - 2 m}{- 4} - 7 = - 19

∣ 2 x - 4 ∣ - 10 = - 6

∣ x ∣ + 5 = 0

∣ - 5 - r ∣ = 3

What is the answer to |x+2|+|x^2-3x+2|=4 ?
The answer to |x+2|+|x^2-3x+2|=4 is x=0\lor x=2
Solve for x: |x+2|+|x^2-3x+2|=4
The solution is x=0\lor x=2