What is the answer to | 1/4-3/2 x|=1 ?

The answer to | 1/4-3/2 x|=1 is x=-1/2 \lor x= 5/6

Solve for x: | 1/4-3/2 x|=1

The solution is x=-1/2 \lor x= 5/6

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\frac{1}{4} - \frac{3}{2} x = 1

x = - \frac{1}{2} or x = \frac{5}{6}

Decimal

x = - 0.5, x = 0.83333 \dots

Solution steps

\frac{1}{4} - \frac{3}{2} x = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{1}{4} - \frac{3}{2} x = - 1 or \frac{1}{4} - \frac{3}{2} x = 1

\frac{1}{4} - \frac{3}{2} x = - 1 or \frac{1}{4} - \frac{3}{2} x = 1

x = - \frac{1}{2} or x = \frac{5}{6}

- \frac{1}{2} b - 2 = 10

∣ 7 x - 2 ∣ = - 7

∣ - 6 x + 2 ∣ - 8 = 5

x^{2} - 3 = 3 x + 15

∣ - x + 5 ∣ = ∣ x ∣

What is the answer to | 1/4-3/2 x|=1 ?
The answer to | 1/4-3/2 x|=1 is x=-1/2 \lor x= 5/6
Solve for x: | 1/4-3/2 x|=1
The solution is x=-1/2 \lor x= 5/6