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

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

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|x-3|=6

∣ x - 3 ∣ = 6

x = - 3 or x = 9

Solution steps

∣ x - 3 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 3 = - 6 or x - 3 = 6

x - 3 = - 6 or x - 3 = 6

x = - 3 or x = 9

\frac{13 !}{( 13 - 8 ) ! 8 !}

- 2 (y + 3) = 3 (y + 4) + 7

\frac{a ^{2} + 2 a - 3}{a + 3}

∣ 3 x + 5 ∣ < - 4

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