What is the answer to |x^2-7|=2 ?

The answer to |x^2-7|=2 is x=-3\lor x=-sqrt(5)\lor x=sqrt(5)\lor x=3

Solve for x: |x^2-7|=2

The solution is x=-3\lor x=-sqrt(5)\lor x=sqrt(5)\lor x=3

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x^{2} - 7 = 2

x = - 3 or x = - 5 or x = 5 or x = 3

Decimal Notation

x = - 3, x = - 2.23606 \dots, x = 2.23606 \dots, x = 3

Solution steps

x^{2} - 7 = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x^{2} - 7 = - 2 or x^{2} - 7 = 2

x^{2} - 7 = - 2 or x^{2} - 7 = 2

(x = - 5 or x = 5) or (x = - 3 or x = 3)

x = - 3 or x = - 5 or x = 5 or x = 3

∣ 3 x + 1 ∣ = - 5

∣ x + 6 ∣ + 6 = 3 x

∣ 3 x - 2 ∣ + 5 = 9

∣ 8 x - 1 ∣ = 6 x

∣ 3 x - 2 ∣ - 9 = - 10

What is the answer to |x^2-7|=2 ?
The answer to |x^2-7|=2 is x=-3\lor x=-sqrt(5)\lor x=sqrt(5)\lor x=3
Solve for x: |x^2-7|=2
The solution is x=-3\lor x=-sqrt(5)\lor x=sqrt(5)\lor x=3