What is the answer to (x-4)^2-2|x-4|-15=0 ?

The answer to (x-4)^2-2|x-4|-15=0 is x=-1\lor x=9

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(x-4)^2-2|x-4|-15=0

(x - 4)^{2} - 2 ∣ x - 4 ∣ - 15 = 0

x = - 1 or x = 9

Solution steps

(x - 4)^{2} - 2 ∣ x - 4 ∣ - 15 = 0

Find positive and negative intervals

x < 4, x \geq 4

Solve the inequality for each interval

x = - 1 or x = 9

4 ∣ x - 5 ∣ = - 24

5 ∣ x - 2 ∣ = 3 ∣ x - 2 ∣ - 7

∣ x + 3 ∣ = 4 x + 1

∣ 8 - 0.2 x ∣ = 12

1 = ∣ t + 1 ∣

What is the answer to (x-4)^2-2|x-4|-15=0 ?
The answer to (x-4)^2-2|x-4|-15=0 is x=-1\lor x=9
Solve for x: (x-4)^2-2|x-4|-15=0
The solution is x=-1\lor x=9