What is the answer to 1/2 |x|-4=4 ?

The answer to 1/2 |x|-4=4 is x=-16\lor x=16

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1/2 |x|-4=4

\frac{1}{2} ∣ x ∣ - 4 = 4

x = - 16 or x = 16

Solution steps

\frac{1}{2} ∣ x ∣ - 4 = 4

Move

4

to the right side

\frac{1}{2} ∣ x ∣ = 8

Multiply both sides by

2

∣ x ∣ = 16

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x = - 16 or x = 16

54 x + 12 x^{2} - 2 x^{3}

\frac{8}{3} - \frac{1}{3}

m^{2} - mn - 20 n^{2}

\frac{h}{9} = 7

x^{2} (x^{2} - 4) + 4 x (x^{2} - 4) + 4 (x^{2} - 4)