What is the answer to | x/2-1|-3=0 ?

The answer to | x/2-1|-3=0 is x=-4\lor x=8

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| x/2-1|-3=0

\frac{x}{2} - 1 - 3 = 0

x = - 4 or x = 8

Solution steps

\frac{x}{2} - 1 - 3 = 0

Move

3

to the right side

\frac{x}{2} - 1 = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{x}{2} - 1 = - 3 or \frac{x}{2} - 1 = 3

\frac{x}{2} - 1 = - 3 or \frac{x}{2} - 1 = 3

x = - 4 or x = 8

∣ 3 x + 2 ∣ = 4 - 2 x

x^{2} - 3 = 1

- 5 - ∣ - 3 - 4 x ∣ = 11

∣ m + 3 ∣ = 12 - 2 m

x^{2} - 1 = 4