What is the answer to 4|x+1/4 |=16 ?

The answer to 4|x+1/4 |=16 is x=-17/4 \lor x= 15/4

Solve for x: 4|x+1/4 |=16

The solution is x=-17/4 \lor x= 15/4

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4 x + \frac{1}{4} = 16

x = - \frac{17}{4} or x = \frac{15}{4}

Decimal Notation

x = - 4.25, x = 3.75

Solution steps

4 x + \frac{1}{4} = 16

Divide both sides by

4

x + \frac{1}{4} = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + \frac{1}{4} = - 4 or x + \frac{1}{4} = 4

x + \frac{1}{4} = - 4 or x + \frac{1}{4} = 4

x = - \frac{17}{4} or x = \frac{15}{4}

∣ - 4 x + 20 ∣ + 24 x = 32

∣ 5 x + 2 ∣ = 9 x + 2

∣ 2 + 2 b ∣ + 1 = 3

3 ∣ x - 1 ∣ = - 15

0 = - 4 ∣ u ∣

What is the answer to 4|x+1/4 |=16 ?
The answer to 4|x+1/4 |=16 is x=-17/4 \lor x= 15/4
Solve for x: 4|x+1/4 |=16
The solution is x=-17/4 \lor x= 15/4