What is the answer to 2=2|u-5| ?

The answer to 2=2|u-5| is u=4\lor u=6

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2=2|u-5|

2 = 2 ∣ u - 5 ∣

u = 4 or u = 6

Solution steps

2 = 2 ∣ u - 5 ∣

Switch sides

2 ∣ u - 5 ∣ = 2

Divide both sides by

2

∣ u - 5 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

u - 5 = - 1 or u - 5 = 1

u - 5 = - 1 or u - 5 = 1

u = 4 or u = 6

2 ∣ 2 x - 6 ∣ + 5 = 21

2 ∣ 5 x - 2 ∣ + 6 = - 2

x^{3} = - ∣ x ∣ + 2

- 53 = 7 - ∣ 6 c + 750 ∣

3 ∣ x - 4 ∣ - 3 = 9