What is the answer to 9-|2x-3|=6 ?

The answer to 9-|2x-3|=6 is x=0\lor x=3

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9-|2x-3|=6

9 - ∣ 2 x - 3 ∣ = 6

x = 0 or x = 3

Solution steps

9 - ∣ 2 x - 3 ∣ = 6

Move

9

to the right side

- ∣ 2 x - 3 ∣ = - 3

Divide both sides by

- 1

∣ 2 x - 3 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 3 = - 3 or 2 x - 3 = 3

2 x - 3 = - 3 or 2 x - 3 = 3

x = 0 or x = 3

x^{2} - 81 < 0.45

\frac{1}{3} (\frac{2}{3})

\frac{1}{4} (5)^{- 2}

36 < 6 j

\frac{8 + 7 i}{3 - 4 i}