What is the answer to -sqrt(x)=1-|x-1| ?

The answer to -sqrt(x)=1-|x-1| is x=0\lor x=4

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-sqrt(x)=1-|x-1|

- x = 1 - ∣ x - 1 ∣

x = 0 or x = 4

Solution steps

- x = 1 - ∣ x - 1 ∣

Find positive and negative intervals

x < 1, x \geq 1

Solve the inequality for each interval

x = 0 or x = 4

∣ 3 x - 5 ∣ - 6 = 4

∣ x - 1 ∣ + ∣ 2 x - 6 ∣ = 5

∣ 1 - 5 x ∣ = 29

x^{2} + x - 5 = x^{2} + 5

2 ∣ x - 6 ∣ - 16 = 6 x

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