|x^2-6x|=7

解

x^{2} - 6 x = 7

x = - 1 or x = 3 - 2 or x = 3 + 2 or x = 7

十進法表記

x = - 1, x = 1.58578 \dots, x = 4.41421 \dots, x = 7

解答ステップ

x^{2} - 6 x = 7

絶対規則を適用する:

∣ u ∣ = a, a > 0

の場合は

u = a

u = - a

x^{2} - 6 x = - 7 or x^{2} - 6 x = 7

x^{2} - 6 x = - 7 or x^{2} - 6 x = 7

(x = 3 - 2 or x = 3 + 2) or (x = - 1 or x = 7)

x = - 1 or x = 3 - 2 or x = 3 + 2 or x = 7