解方程:(1-y)的两次方-(1+y)(-1-y)=2(y+3)(y-1) 5
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(1-y)^2-(1+y)(-1-y)=2(y+3)(y-1)
(1-y)^2+(1+y)^2=2(y+3)(y-1)
两边同时加上2(1-y)(1+y)
(1-y)^2+(1+y)^2+2(1-y)(1+y)=2(y+3)(y-1)+2(1-y)(1+y)
[(1-y)+(1+y)]^2=2(y-1)[(y+3)-(1+y)]
4=4(y-1)
∴y=2
(1-y)^2+(1+y)^2=2(y+3)(y-1)
两边同时加上2(1-y)(1+y)
(1-y)^2+(1+y)^2+2(1-y)(1+y)=2(y+3)(y-1)+2(1-y)(1+y)
[(1-y)+(1+y)]^2=2(y-1)[(y+3)-(1+y)]
4=4(y-1)
∴y=2
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:(1-y)的两次方-(1+y)(-1-y)=2(y+3)(y-1)
(y-1)²+(y+1)²-2(y+3)(y-1)=0
y²-2y+1+y²+2y+1-2(y²-y+3y-3)=0
2y²+2-2y²-4y+6=0
-4y=-8
y=2
(y-1)²+(y+1)²-2(y+3)(y-1)=0
y²-2y+1+y²+2y+1-2(y²-y+3y-3)=0
2y²+2-2y²-4y+6=0
-4y=-8
y=2
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(1-y)的两次方-(1+y)(-1-y)=2(y+3)(y-1)
(y-1)^2+(1+y)^2=2(y+3)(y-1)
y^2-2y+1+1+2y+y^2=2(y^2+2y-3)
2y^2+2=2y^2+4y-6
4y=8
y=2
(y-1)^2+(1+y)^2=2(y+3)(y-1)
y^2-2y+1+1+2y+y^2=2(y^2+2y-3)
2y^2+2=2y^2+4y-6
4y=8
y=2
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