What is the answer to |2x-1|=8 ?

The answer to |2x-1|=8 is x=-7/2 \lor x= 9/2

Solve for x: |2x-1|=8

The solution is x=-7/2 \lor x= 9/2

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∣ 2 x - 1 ∣ = 8

x = - \frac{7}{2} or x = \frac{9}{2}

Decimal Notation

x = - 3.5, x = 4.5

Solution steps

∣ 2 x - 1 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 1 = - 8 or 2 x - 1 = 8

2 x - 1 = - 8 or 2 x - 1 = 8

x = - \frac{7}{2} or x = \frac{9}{2}

x^{2} + 416 = 8 x

2402 - 10011

64 + a^{3} b^{3}

- 6 x^{2} - 6 x + 12 = 0

8 a^{2} + 6 a = - 5