What is the answer to |x^2-5|=10 ?

The answer to |x^2-5|=10 is x=-sqrt(15)\lor x=sqrt(15)

Solve for x: |x^2-5|=10

The solution is x=-sqrt(15)\lor x=sqrt(15)

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x^{2} - 5 = 10

x = - 15 or x = 15

Decimal Notation

x = - 3.87298 \dots, x = 3.87298 \dots

Solution steps

x^{2} - 5 = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x^{2} - 5 = - 10 or x^{2} - 5 = 10

x^{2} - 5 = - 10 or x^{2} - 5 = 10

No Solution or (x = - 15 or x = 15)

x = - 15 or x = 15

∣ 3 x - 2 ∣ = 13

3 = ∣ 6 - x ∣

x^{2} - 16 = x - 4

10 + 2 ∣ x + 3 ∣ = 2

∣ 2 x - 3 ∣ + 6 = 9

What is the answer to |x^2-5|=10 ?
The answer to |x^2-5|=10 is x=-sqrt(15)\lor x=sqrt(15)
Solve for x: |x^2-5|=10
The solution is x=-sqrt(15)\lor x=sqrt(15)