What is the answer to |x^2-9|=5 ?

The answer to |x^2-9|=5 is x=-sqrt(14)\lor x=-2\lor x=2\lor x=sqrt(14)

Solve for x: |x^2-9|=5

The solution is x=-sqrt(14)\lor x=-2\lor x=2\lor x=sqrt(14)

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x^{2} - 9 = 5

x = - 14 or x = - 2 or x = 2 or x = 14

Decimal Notation

x = - 3.74165 \dots, x = - 2, x = 2, x = 3.74165 \dots

Solution steps

x^{2} - 9 = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x^{2} - 9 = - 5 or x^{2} - 9 = 5

x^{2} - 9 = - 5 or x^{2} - 9 = 5

(x = - 2 or x = 2) or (x = - 14 or x = 14)

x = - 14 or x = - 2 or x = 2 or x = 14

\frac{3 x}{2} = 3

∣ x ∣ = 50

∣ 8 + 5 a ∣ = 14 - a

\frac{m}{- 4} + 1 = 3

3 = 3 - ∣ 8 a - 6 ∣

What is the answer to |x^2-9|=5 ?
The answer to |x^2-9|=5 is x=-sqrt(14)\lor x=-2\lor x=2\lor x=sqrt(14)
Solve for x: |x^2-9|=5
The solution is x=-sqrt(14)\lor x=-2\lor x=2\lor x=sqrt(14)