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

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

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|2x-1|=3

∣ 2 x - 1 ∣ = 3

x = - 1 or x = 2

Solution steps

∣ 2 x - 1 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 1 = - 3 or 2 x - 1 = 3

2 x - 1 = - 3 or 2 x - 1 = 3

x = - 1 or x = 2

6 = x^{2} - x

\frac{x}{6} + \frac{1}{3} = \frac{1}{12}

5^{- x}

x^{2} + x + \frac{1}{4}

\frac{5 a}{5 a + 5} \cdot \frac{10 a + 10}{a}