What is the answer to 0=|4-x^2| ?

The answer to 0=|4-x^2| is x=-2\lor x=2

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0=|4-x^2|

0 = 4 - x^{2}

x = - 2 or x = 2

Solution steps

0 = 4 - x^{2}

Switch sides

4 - x^{2} = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

4 - x^{2} = 0

4 - x^{2} = 0 : x = 2, x = - 2

x = - 2 or x = 2

∣ 3 x + 5 ∣ = 6 x + 10

\frac{1}{3} ∣ x + 7 ∣ = 9

∣ 2 a - 4 ∣ = 0

∣ 5 x - 8 ∣ = 0

3 x - 2 + ∣ x ∣ = 11