What is the answer to |x-4|=13 ?

The answer to |x-4|=13 is x=-9\lor x=17

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|x-4|=13

∣ x - 4 ∣ = 13

x = - 9 or x = 17

Solution steps

∣ x - 4 ∣ = 13

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 4 = - 13 or x - 4 = 13

x - 4 = - 13 or x - 4 = 13

x = - 9 or x = 17

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