What is the answer to |x^2-14|=11 ?

The answer to |x^2-14|=11 is x=-5\lor x=-sqrt(3)\lor x=sqrt(3)\lor x=5

Solve for x: |x^2-14|=11

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

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x^{2} - 14 = 11

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

Decimal Notation

x = - 5, x = - 1.73205 \dots, x = 1.73205 \dots, x = 5

Solution steps

x^{2} - 14 = 11

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x^{2} - 14 = - 11 or x^{2} - 14 = 11

x^{2} - 14 = - 11 or x^{2} - 14 = 11

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

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

∣ y ∣ + 7 = 15

∣ 3 p + 8 ∣ = 13

∣ 2 x + 9 ∣ = x + 6

∣ 4 x - 9 ∣ - 7 = - 52

4 + ∣ 3 x + 4 ∣ = 28

What is the answer to |x^2-14|=11 ?
The answer to |x^2-14|=11 is x=-5\lor x=-sqrt(3)\lor x=sqrt(3)\lor x=5
Solve for x: |x^2-14|=11
The solution is x=-5\lor x=-sqrt(3)\lor x=sqrt(3)\lor x=5