中四簡單數學題!!

2007-09-13 1:58 am
我要問點計個x
X^2-X-1=0

我老師話有方法整走個X

求高手教路!!

回答 (2)

2007-09-13 2:08 am
✔ 最佳答案
X^2-X-1=0
x^2-x+1/4-5/4=0
(x-1/2)^2=5/4
x-1/2= +/- (√5)/2
x=1/2 +/- (√5)/2
x=[1 +/- (√5)]/2
∴x=[1+(√5)]/2 or x=[1-(√5)]/2
{x=1.62 or x=-0.62 (2 decimal places)}
參考: me
2007-09-13 2:22 am
in general to solving this kind of quadratic equation Ax^2 + Bx +C = 0
the general solution is

x = {-B +/- [sqrt (B^2 - 4AC)] } / 2A


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