What is the answer to (x-1)(x-2)=|x|-1 ?

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

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(x-1)(x-2)=|x|-1

(x - 1) (x - 2) = ∣ x ∣ - 1

x = 1 or x = 3

Solution steps

(x - 1) (x - 2) = ∣ x ∣ - 1

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

No Solution or (x = 1 or x = 3)

x = 1 or x = 3

2 = ∣ x ∣ + x

5 ∣ x + 6 ∣ = 20

∣ - 6 x ∣ = 11

∣ d - 60 ∣ = 40

3 ∣ 2 x - 5 ∣ = 111

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