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}

∣ 3 x ∣ = 5 x + 4

x^{2} - x - 1 = 1

∣ 6 r - 9 ∣ = 27

∣ 3 - x ∣ + x = 4

∣ 3 x - 5 ∣ = x + 1

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