What is the answer to sqrt(x)+2=|x-4| ?

The answer to sqrt(x)+2=|x-4| is x=1\lor x=9

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sqrt(x)+2=|x-4|

x + 2 = ∣ x - 4 ∣

x = 1 or x = 9

Solution steps

x + 2 = ∣ x - 4 ∣

Find positive and negative intervals

x < 4, x \geq 4

Solve the inequality for each interval

x = 1 or x = 9

∣ 3 y + 4 ∣ - 4 = 0

∣ x + 1 ∣ + 6 = 4

∣ x - 1 ∣ = - 5 x - 10

∣ 9 x ∣ = 63

(x - ∣ 3 x + 2 ∣)^{2} = 16

What is the answer to sqrt(x)+2=|x-4| ?
The answer to sqrt(x)+2=|x-4| is x=1\lor x=9
Solve for x: sqrt(x)+2=|x-4|
The solution is x=1\lor x=9