What is the answer to 4|x-5|=12 ?

The answer to 4|x-5|=12 is x=2\lor x=8

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4|x-5|=12

4 ∣ x - 5 ∣ = 12

x = 2 or x = 8

Solution steps

4 ∣ x - 5 ∣ = 12

Divide both sides by

4

∣ x - 5 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 5 = - 3 or x - 5 = 3

x - 5 = - 3 or x - 5 = 3

x = 2 or x = 8

6 x^{2} + 6 x - 72 = 0

- 2 - (- 8)

3 r^{2} + r + 9 = 2

5 x^{2} + 10 x^{4}

5 z^{2} = 17 z - 14