What is the answer to 4=|v|-4 ?

The answer to 4=|v|-4 is v=-8\lor v=8

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4=|v|-4

4 = ∣ v ∣ - 4

v = - 8 or v = 8

Solution steps

4 = ∣ v ∣ - 4

Switch sides

∣ v ∣ - 4 = 4

Move

4

to the right side

∣ v ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

v = - 8 or v = 8

∣ x ∣ + 1 = 9

x^{2} - x + 1 = 7

∣ 5 x + 1 ∣ = 2 x

∣ k + 1 ∣ = 5

∣ k + 1 ∣ = 2