What is the answer to |x^2-23|=2 ?

The answer to |x^2-23|=2 is x=-5\lor x=-sqrt(21)\lor x=sqrt(21)\lor x=5

Solve for x: |x^2-23|=2

The solution is x=-5\lor x=-sqrt(21)\lor x=sqrt(21)\lor x=5

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x^{2} - 23 = 2

x = - 5 or x = - 21 or x = 21 or x = 5

Decimal

x = - 5, x = - 4.58257 \dots, x = 4.58257 \dots, x = 5

Solution steps

x^{2} - 23 = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x^{2} - 23 = - 2 or x^{2} - 23 = 2

x^{2} - 23 = - 2 or x^{2} - 23 = 2

(x = - 21 or x = 21) or (x = - 5 or x = 5)

x = - 5 or x = - 21 or x = 21 or x = 5

∣ 3 f - 6 ∣ = ∣ 9 f ∣

∣ 5 - 3 t ∣ = \frac{1}{2}

3 ∣ 7 - 10 n ∣ + 9 = 0

3 x^{2} - 6 x + 9 - 2 ∣ x - 3 ∣ = 6

∣ 9 - 7 b ∣ - 6 = 5

What is the answer to |x^2-23|=2 ?
The answer to |x^2-23|=2 is x=-5\lor x=-sqrt(21)\lor x=sqrt(21)\lor x=5
Solve for x: |x^2-23|=2
The solution is x=-5\lor x=-sqrt(21)\lor x=sqrt(21)\lor x=5