What is the answer to |x-6|=5 ?

The answer to |x-6|=5 is x=1\lor x=11

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|x-6|=5

∣ x - 6 ∣ = 5

x = 1 or x = 11

Solution steps

∣ x - 6 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 6 = - 5 or x - 6 = 5

x - 6 = - 5 or x - 6 = 5

x = 1 or x = 11

\frac{- 4}{- 3 + 2 i}

2 (- 27)^{\frac{8}{3}}

(- 2 + 6 i) - (12 + 8 i)

4 x^{2} = - 20 x - 25

x y + 6 y - 5 x - 30