What is the answer to x|pi-x|=x ?

The answer to x|pi-x|=x is x=0\lor x=pi-1\lor x=(pi+1+sqrt((-pi-1)^2))/2

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x|pi-x|=x

x ∣ π - x ∣ = x

x = 0 or x = π - 1 or x = \frac{π + 1 + ( - π - 1 ) ^{2}}{2}

Solution steps

x ∣ π - x ∣ = x

Find positive and negative intervals

x \leq π, x > π

Solve the inequality for each interval

(x = 0 or x = π - 1) or x = \frac{π + 1 + ( - π - 1 ) ^{2}}{2}

x = 0 or x = π - 1 or x = \frac{π + 1 + ( - π - 1 ) ^{2}}{2}

∣ 8 x + 7 ∣ + 2 = 4

4 ∣ 3 u ∣ = - 48

∣ 6 y - 2 ∣ + 4 = 32

∣ 4 y + 16 ∣ = 28

6 ∣ 3 - 12 x ∣ = 24

What is the answer to x|pi-x|=x ?
The answer to x|pi-x|=x is x=0\lor x=pi-1\lor x=(pi+1+sqrt((-pi-1)^2))/2