What is the answer to |x^2-13|=3 ?

The answer to |x^2-13|=3 is x=-4\lor x=-sqrt(10)\lor x=sqrt(10)\lor x=4

Solve for x: |x^2-13|=3

The solution is x=-4\lor x=-sqrt(10)\lor x=sqrt(10)\lor x=4

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x^{2} - 13 = 3

x = - 4 or x = - 10 or x = 10 or x = 4

Decimal Notation

x = - 4, x = - 3.16227 \dots, x = 3.16227 \dots, x = 4

Solution steps

x^{2} - 13 = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x^{2} - 13 = - 3 or x^{2} - 13 = 3

x^{2} - 13 = - 3 or x^{2} - 13 = 3

(x = - 10 or x = 10) or (x = - 4 or x = 4)

x = - 4 or x = - 10 or x = 10 or x = 4

- 2 ∣ x + 8 ∣ = 20

∣ 3 x - 5 ∣ = 2 - x

5 ∣ x - 4 ∣ - 9 = 2

∣ 3 x + 5 ∣ + 8 = 7

- 3 = ∣ x ∣

What is the answer to |x^2-13|=3 ?
The answer to |x^2-13|=3 is x=-4\lor x=-sqrt(10)\lor x=sqrt(10)\lor x=4
Solve for x: |x^2-13|=3
The solution is x=-4\lor x=-sqrt(10)\lor x=sqrt(10)\lor x=4