What is the answer to |2-x|=2-(x-1)^{(2)} ?

The answer to |2-x|=2-(x-1)^{(2)} is x=(3-sqrt(5))/2 \lor x=(1+sqrt(13))/2

Solve for x: |2-x|=2-(x-1)^{(2)}

The solution is x=(3-sqrt(5))/2 \lor x=(1+sqrt(13))/2

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∣ 2 - x ∣ = 2 - (x - 1)^{(2)}

x = \frac{3 - 5}{2} or x = \frac{1 + 13}{2}

Decimal Notation

x = 0.38196 \dots, x = 2.30277 \dots

Solution steps

∣ 2 - x ∣ = 2 - (x - 1)^{2}

Find positive and negative intervals

x \leq 2, x > 2

Solve the inequality for each interval

x = \frac{3 - 5}{2} or x = \frac{1 + 13}{2}

2 ∣ 7 x ∣ + 5 = 17

- 3 = - ∣ x + 7 ∣ + 5

2 ∣ 7 x ∣ + 5 = 11

∣ 5 x + 14 ∣ = 2

- 3 ∣ 3 x - 6 ∣ = 6

What is the answer to |2-x|=2-(x-1)^{(2)} ?
The answer to |2-x|=2-(x-1)^{(2)} is x=(3-sqrt(5))/2 \lor x=(1+sqrt(13))/2
Solve for x: |2-x|=2-(x-1)^{(2)}
The solution is x=(3-sqrt(5))/2 \lor x=(1+sqrt(13))/2