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

The answer to |x-4|=sqrt(x-2) is x=3\lor x=6

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

∣ x - 4 ∣ = x - 2

x = 3 or x = 6

Solution steps

∣ x - 4 ∣ = x - 2

Find positive and negative intervals

x < 4, x \geq 4

Solve the inequality for each interval

x = 3 or x = 6

- 6 + ∣ 2 x - 9 ∣ = 5

∣ z + 7 ∣ - 2 = 3

∣ 3 x ∣ = - 2

∣ 3 x ∣ = - 1

4 ∣ x ∣ - 5 = 7

What is the answer to |x-4|=sqrt(x-2) ?
The answer to |x-4|=sqrt(x-2) is x=3\lor x=6
Solve for x: |x-4|=sqrt(x-2)
The solution is x=3\lor x=6