化简(b²-6ac)/(2b²+ac)其中b+12ac=0

问题描述:

化简(b²-6ac)/(2b²+ac)其中b+12ac=0

ac=-1/12b代进去
最后变为(12b+6)/(24b-1)

b+12ac=0
化为ac=-b/12
(b²-6ac)/(2b²+ac)
=(b²+(b/2))/(2b²-(b/12))
=(b+1/2)/(2b-1/12)

b+12ac=0
∴ac=-b/12
原式=(b²+b/2)/(2b²-b/12)
=(12b²+6b)/(24b²-b)
=(12b+6)/(24b-1)