What is the answer to |8z-4|=6 ?

The answer to |8z-4|=6 is z=-1/4 \lor z= 5/4

Solve for z: |8z-4|=6

The solution is z=-1/4 \lor z= 5/4

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∣ 8 z - 4 ∣ = 6

z = - \frac{1}{4} or z = \frac{5}{4}

Decimal Notation

z = - 0.25, z = 1.25

Solution steps

∣ 8 z - 4 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 z - 4 = - 6 or 8 z - 4 = 6

8 z - 4 = - 6 or 8 z - 4 = 6

z = - \frac{1}{4} or z = \frac{5}{4}

(x + y)^{6}

2 x + 5 = 2 x - 3

2 (\frac{48}{3})^{- \frac{1}{4}}

x^{2} - 2 x \geq 3

3 x^{2} - 9 = 54