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

The answer to [|x^2-2|]=4 is x=-sqrt(6)\lor x=sqrt(6)

Solve for x: [|x^2-2|]=4

The solution is x=-sqrt(6)\lor x=sqrt(6)

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[x^{2} - 2] = 4

x = - 6 or x = 6

Decimal Notation

x = - 2.44948 \dots, x = 2.44948 \dots

Solution steps

[x^{2} - 2] = 4

x^{2} - 2 = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x^{2} - 2 = - 4 or x^{2} - 2 = 4

x^{2} - 2 = - 4 or x^{2} - 2 = 4

No Solution or (x = - 6 or x = 6)

x = - 6 or x = 6

\frac{( 4 w - 1 )}{6} = 2 \frac{w}{3} + \frac{1}{4}

∣ x - 2 ∣ + ∣ x + 2 ∣ = 3

x, ∣ y ∣ + x^{2} = 1

∣ u + 2 ∣ + ∣ u - 3 ∣ = 5

x^{2} + 4 x + 3 = x + 1

What is the answer to [|x^2-2|]=4 ?
The answer to [|x^2-2|]=4 is x=-sqrt(6)\lor x=sqrt(6)
Solve for x: [|x^2-2|]=4
The solution is x=-sqrt(6)\lor x=sqrt(6)