What is the answer to 3-sqrt(x-1)=|x-4| ?

The answer to 3-sqrt(x-1)=|x-4| is x=1\lor x=2\lor x=5

Solve for x: 3-sqrt(x-1)=|x-4|

The solution is x=1\lor x=2\lor x=5

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3 - x - 1 = ∣ x - 4 ∣

x = 1 or x = 2 or x = 5

Solution steps

3 - x - 1 = ∣ x - 4 ∣

Find positive and negative intervals

x < 4, x \geq 4

Solve the inequality for each interval

(x = 1 or x = 2) or x = 5

x = 1 or x = 2 or x = 5

∣ 3 x + 11 ∣ = 1818

∣ 2 x - 3 ∣ + 8 = 4

∣ 4 x - 3 ∣ = - 1

∣ x - 3 ∣ - 5 = 0

∣ 2 x - 6 ∣ - 6 = 4

What is the answer to 3-sqrt(x-1)=|x-4| ?
The answer to 3-sqrt(x-1)=|x-4| is x=1\lor x=2\lor x=5
Solve for x: 3-sqrt(x-1)=|x-4|
The solution is x=1\lor x=2\lor x=5