How do you solve $∣ ∣ ∣ \frac{1}{4} x - 5 ∣ ∣ ∣ = 8$ $abs(1/4x-5)=8$ ?

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Answer 1 · 2018-06-05T03:18:29

$x = 52, x = - 12$ $x=52, x=-12$

To solve this you must solve two equations:

$∣ ∣ ∣ \frac{1}{4} x - 5 ∣ ∣ ∣ = 8$ $abs(1/4x-5)=8$

$\frac{1}{4} x - 5 = \pm 8$ $1/4x-5=+-8$

$\frac{1}{4} x = 5 \pm 8$ $1/4x=5+-8$

$x = 4 (5 \pm 8)$ $x=4(5+-8)$

$x = 20 \pm 32$ $x=20+-32$

$x = 52, x = - 12$ $x=52, x=-12$

How do you solve ∣∣∣14x−5∣∣∣=8abs(1/4x-5)=8?