What is the answer to |x^2-5|=4 ?

The answer to |x^2-5|=4 is x=-3\lor x=-1\lor x=1\lor x=3

Solve for x: |x^2-5|=4

The solution is x=-3\lor x=-1\lor x=1\lor x=3

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x^{2} - 5 = 4

x = - 3 or x = - 1 or x = 1 or x = 3

Solution steps

x^{2} - 5 = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x^{2} - 5 = - 4 or x^{2} - 5 = 4

x^{2} - 5 = - 4 or x^{2} - 5 = 4

(x = - 1 or x = 1) or (x = - 3 or x = 3)

x = - 3 or x = - 1 or x = 1 or x = 3

∣ a - 3 ∣ + 2 = 0

x^{2} - 2 x - 8 + x^{2} + x - 2 = 3 ∣ x + 2 ∣

∣ - 3 x + 2 ∣ = 4

∣ x ∣ = 2 x - 3

- ∣ - 2 + (- a) ∣ + 90 = - 7

What is the answer to |x^2-5|=4 ?
The answer to |x^2-5|=4 is x=-3\lor x=-1\lor x=1\lor x=3
Solve for x: |x^2-5|=4
The solution is x=-3\lor x=-1\lor x=1\lor x=3