What is the answer to (x-2)^2-3|x-2|+2=0 ?

The answer to (x-2)^2-3|x-2|+2=0 is x=0\lor x=1\lor x=3\lor x=4

Solve for x: (x-2)^2-3|x-2|+2=0

The solution is x=0\lor x=1\lor x=3\lor x=4

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(x - 2)^{2} - 3 ∣ x - 2 ∣ + 2 = 0

x = 0 or x = 1 or x = 3 or x = 4

Solution steps

(x - 2)^{2} - 3 ∣ x - 2 ∣ + 2 = 0

Find positive and negative intervals

x < 2, x \geq 2

Solve the inequality for each interval

(x = 0 or x = 1) or (x = 3 or x = 4)

x = 0 or x = 1 or x = 3 or x = 4

∣ x ∣ + ∣ x - 2 ∣ + ∣ x - 4 ∣ = 5

∣ x - 2 ∣ - 4 = 1

x^{2} - 4 = x^{2} - 4

∣ x + 1 ∣ + 3 ∣ x - 2 ∣ + 5 ∣ x - 4 ∣ = 20

y, x^{2} + (y - ∣ x ∣)^{2} = 1

What is the answer to (x-2)^2-3|x-2|+2=0 ?
The answer to (x-2)^2-3|x-2|+2=0 is x=0\lor x=1\lor x=3\lor x=4
Solve for x: (x-2)^2-3|x-2|+2=0
The solution is x=0\lor x=1\lor x=3\lor x=4