What is the answer to 3=|1-x^2| ?

The answer to 3=|1-x^2| is x=-2\lor x=2

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3=|1-x^2|

3 = 1 - x^{2}

x = - 2 or x = 2

Solution steps

3 = 1 - x^{2}

Switch sides

1 - x^{2} = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

1 - x^{2} = - 3 or 1 - x^{2} = 3

1 - x^{2} = - 3 or 1 - x^{2} = 3

(x = - 2 or x = 2) or No Solution

x = - 2 or x = 2

\frac{1}{5 ^{- 3}}

- \frac{7}{2} \cdot (- \frac{7}{5})

(2 k)^{2}

3 x^{2} - 5 x + 2 > 0

4 m^{2} + 4 m + 1 = 0