What is the answer to 0=|x-4|-1 ?

The answer to 0=|x-4|-1 is x=3\lor x=5

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0=|x-4|-1

0 = ∣ x - 4 ∣ - 1

x = 3 or x = 5

Solution steps

0 = ∣ x - 4 ∣ - 1

Switch sides

∣ x - 4 ∣ - 1 = 0

Move

1

to the right side

∣ x - 4 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 4 = - 1 or x - 4 = 1

x - 4 = - 1 or x - 4 = 1

x = 3 or x = 5

30 w = 9 w^{2} + 25

4 x^{2} - 4 x + 4

\frac{1}{6} x + \frac{2}{3} x + 4 = x + 2

2 x + 2 x = x + 1

- 4 - n = 17