題目給的:X =1+√3
【法一】把題目給的稍微搬一下家整理一下
X-1=√3
→ (X-1)2=3
→ X2 - 2 X + 1 = 3
→ X2 - 2 X = 2
→ X2 - 2 X + 2 X - 4= 2 + 2 X - 4
→ X2 −4 = 2 ( 1+√3 ) -2
【法二】直接把題目給的丟進他要你求的式子中
X2 −4
= ( 1 + √3 )2 - 4
= ( 1 + 3 + 2√3 ) -4
= 2√3
Ans = 2√3 (二根號三:P)
P.S.
( A + B )^2 = A^2 + B^2 + 2AB