ã
ãã解ï¼
ããï¼1ï¼åæ¹ç¨å·¦è¾¹å»æ¬å¼§å¾
ããy²+2â2y+2=4â2y
ãã移项ï¼å并å类项å¾
ããy²-2â2y+2=0
ããå³
ããï¼y-â2ï¼²=0
ããå¾y=â2.
ããâ´åæ¹ç¨ç解为ï¼y=â2.
ãã(2)ç±åæ¹ç¨ä¸¤è¾¹å¼å¹³æ¹å¾
ãã3x-â3=3â3,æ3x-â3=-3â3
ããä»è
ããx=4â3/3,æx=-2â3/3.
ããâ´åæ¹ç¨ç解为ï¼x=4â3/3,æx=-2â3/3.
ãã(3)é
æ¹,åæ¹ç¨å¯å为:
ããï¼x-â6ï¼²=8
ãã两边å¼å¹³æ¹å¾
ããx-â6=2â2,æx-â6=-2â2
ããx=â6+2â2,æx=â6-2â2.
ããâ´åæ¹ç¨ç解为ï¼x=â6+2â2,æx=â6-2â2.
ãã(4)ï¼å
¬å¼æ³ï¼
ããÎ=ï¼-5ï¼²-4x2x(-1)=33
ããx=(5+â33)/4,æx=(5-â33)/4ã
ãã(5)(å å¼å解æ³)
ããåæ¹ç¨å·¦è¾¹å å¼å解ï¼ååç¸ä¹æ³ï¼å¯å为:
ãã(x+2)(-3x+1)=0
ããx=-2,æx=1/3.
ããâ´åæ¹ç¨ç解为ï¼x=-2,æx=1/3.
ããï¼6ï¼åæ¹ç¨å·¦è¾¹å å¼å解ï¼æåå
¬å å¼ï¼å¯å为:
ããï¼y+1)(y-2+y)=0
ããå¾ï¼y+1)(2y-2)=0
ããy=-1,æy=1.
ããâ´åæ¹ç¨ç解为ï¼y=-1,æy=1.
ããï¼7ï¼åæ¹ç¨ä¸¤è¾¹å¼å¹³æ¹å¾
ãã2ï¼x-3)=2x-5,æ2ï¼x-3)=-(2x-5)
ãã4x=16
ããx=4.
ããâ´åæ¹ç¨ç解为ï¼x=4.
ãã(8)åæ¹ç¨å¯å为:
ããx²+x-2=0
ããé
æ¹å¾
ãã(x+1/2)²=9/4
ããx=1,æx=-2.
ããâ´åæ¹ç¨ç解为ï¼x=1,æx=-2.
ãã(9)
ããåæ¹ç¨å·¦è¾¹å»æ¬å¼§å¾
ããy²+2â3y+3=4â3y
ãã移项ï¼å并å类项å¾
ããy²-2â3y+3=0
ããå³
ããï¼y-â3ï¼²=0
ããæ
y=â3.
ããâ´åæ¹ç¨ç解为ï¼y=â3.
ãã(10)
ããåæ¹ç¨å¯å为:
ãã4y²-12y-3=0
ããï¼å
¬å¼æ³ï¼
ããÎ=ï¼-12ï¼²-4x4x(-3)=192.
ããâ192=8â3.
ããx=(12+8â3)/8,æx=(12+8â3)/8.
ããx=(3+2â3)/2,æx=(3-2â3)/2.
ããâ´åæ¹ç¨ç解为ï¼x=(3+2â3)/2,æx=(3-2â3)/2.
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