What is the answer to |2x-1/2 |= 7/2 ?

The answer to |2x-1/2 |= 7/2 is x=-3/2 \lor x=2

Solve for x: |2x-1/2 |= 7/2

The solution is x=-3/2 \lor x=2

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2 x - \frac{1}{2} = \frac{7}{2}

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

Decimal Notation

x = - 1.5, x = 2

Solution steps

2 x - \frac{1}{2} = \frac{7}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - \frac{1}{2} = - \frac{7}{2} or 2 x - \frac{1}{2} = \frac{7}{2}

2 x - \frac{1}{2} = - \frac{7}{2} or 2 x - \frac{1}{2} = \frac{7}{2}

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

6 x^{2} - 25 x + 14

\frac{- 50}{- 50 - 4}

(- \frac{1}{7})^{- 4}

4 (3 + x) - x = 6 + 3 (x + 2)

8 a^{3} + 41 a^{2} + 5 a

What is the answer to |2x-1/2 |= 7/2 ?
The answer to |2x-1/2 |= 7/2 is x=-3/2 \lor x=2
Solve for x: |2x-1/2 |= 7/2
The solution is x=-3/2 \lor x=2