|x^2-2|=1

解

x^{2} - 2 = 1

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

十進法表記

x = - 1.73205 \dots, x = - 1, x = 1, x = 1.73205 \dots

解答ステップ

x^{2} - 2 = 1

絶対規則を適用する:

∣ u ∣ = a, a > 0

の場合は

u = a

u = - a

x^{2} - 2 = - 1 or x^{2} - 2 = 1

x^{2} - 2 = - 1 or x^{2} - 2 = 1

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

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