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

The answer to |x^2-3|=2 is x=-sqrt(5)\lor x=-1\lor x=1\lor x=sqrt(5)

Solve for x: |x^2-3|=2

The solution is x=-sqrt(5)\lor x=-1\lor x=1\lor x=sqrt(5)

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x^{2} - 3 = 2

x = - 5 or x = - 1 or x = 1 or x = 5

Decimal Notation

x = - 2.23606 \dots, x = - 1, x = 1, x = 2.23606 \dots

Solution steps

x^{2} - 3 = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

(x = - 1 or x = 1) or (x = - 5 or x = 5)

x = - 5 or x = - 1 or x = 1 or x = 5

∣ r ∣ + 2 = 3

∣ 2 x - 2 ∣ = x + 1

∣ x - 1 ∣ = 2 x - 3

∣ x + 15 ∣ = 8

∣ 8 m - 8 ∣ = 40

What is the answer to |x^2-3|=2 ?
The answer to |x^2-3|=2 is x=-sqrt(5)\lor x=-1\lor x=1\lor x=sqrt(5)
Solve for x: |x^2-3|=2
The solution is x=-sqrt(5)\lor x=-1\lor x=1\lor x=sqrt(5)