What is the answer to |1-4a|-5=8 ?

The answer to |1-4a|-5=8 is a=-3\lor a= 7/2

Solve for a: |1-4a|-5=8

The solution is a=-3\lor a= 7/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

∣ 1 - 4 a ∣ - 5 = 8

a = - 3 or a = \frac{7}{2}

Decimal Notation

a = - 3, a = 3.5

Solution steps

∣ 1 - 4 a ∣ - 5 = 8

Move

5

to the right side

∣ 1 - 4 a ∣ = 13

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

1 - 4 a = - 13 or 1 - 4 a = 13

1 - 4 a = - 13 or 1 - 4 a = 13

a = - 3 or a = \frac{7}{2}

5 ∣ 2 x + 8 ∣ + 3 = 33

9 - x^{2} = x - 1

∣ 3 x - 15 ∣ - 5 = - 2

- 4 ∣ 2 x - 8 ∣ = 9

2 x^{3} + 8 - 7 = 11