What is the answer to |x-3|=3 ?

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

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|x-3|=3

∣ x - 3 ∣ = 3

x = 0 or x = 6

Solution steps

∣ x - 3 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = 0 or x = 6

\frac{x ^{- 1}}{x ^{- 2}}

\frac{5}{18}

4 x^{2} - 12 x + 9 > 0

2 x^{2} - 7 x - 6 = 0

- 6 x - 3.4 = 3 x + 0.2