请帮我解决下这条分式方程X^2 5___ + ___ = `1 请写详细过程,同时说说2X怎么变成X-2x^2-4 2-xX^2+1 5___ + ___ = `1 这样呢··x^2-4 2-x
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![请帮我解决下这条分式方程X^2 5___ + ___ = `1 请写详细过程,同时说说2X怎么变成X-2x^2-4 2-xX^2+1 5___ + ___ = `1 这样呢··x^2-4 2-x](/uploads/image/z/10895977-1-7.jpg?t=%E8%AF%B7%E5%B8%AE%E6%88%91%E8%A7%A3%E5%86%B3%E4%B8%8B%E8%BF%99%E6%9D%A1%E5%88%86%E5%BC%8F%E6%96%B9%E7%A8%8BX%5E2++++++++++5___+++++%2B++++___+++%3D+++%601++++%E8%AF%B7%E5%86%99%E8%AF%A6%E7%BB%86%E8%BF%87%E7%A8%8B%2C%E5%90%8C%E6%97%B6%E8%AF%B4%E8%AF%B42X%E6%80%8E%E4%B9%88%E5%8F%98%E6%88%90X-2x%5E2-4++++++2-xX%5E2%2B1++++++++++5___+++++%2B++++___+++%3D+++%601++++%E8%BF%99%E6%A0%B7%E5%91%A2%C2%B7%C2%B7x%5E2-4++++++2-x)
请帮我解决下这条分式方程X^2 5___ + ___ = `1 请写详细过程,同时说说2X怎么变成X-2x^2-4 2-xX^2+1 5___ + ___ = `1 这样呢··x^2-4 2-x
请帮我解决下这条分式方程
X^2 5
___ + ___ = `1 请写详细过程,同时说说2X怎么变成X-2
x^2-4 2-x
X^2+1 5
___ + ___ = `1 这样呢··
x^2-4 2-x
请帮我解决下这条分式方程X^2 5___ + ___ = `1 请写详细过程,同时说说2X怎么变成X-2x^2-4 2-xX^2+1 5___ + ___ = `1 这样呢··x^2-4 2-x
X^2 5
___ + ___ = `1
x^2-4 2-x
X^2 5
__________ - ___ = `1
(x+2)(x-2) x-2
X^2-5x+10
_____________ = `1
(x+2)(x-2)
X^2-5x+10=x^2-4
x=6/5
带回验证发现OK
其中x^2-a^2=(x+a)(x-a)
(2X不能变成X-2或变了也没意义)
X²/(X²-4)-5/(X-2)=1
X²/(X²-4)-5(X+2)/(X²-4)-(X²-4)/(X²-4)=0
(-5X-6)/(X²-4)=0
-5X-6=0, X=-6/5 (X≠±2)
(X²+1)/(X²...
全部展开
(2X不能变成X-2或变了也没意义)
X²/(X²-4)-5/(X-2)=1
X²/(X²-4)-5(X+2)/(X²-4)-(X²-4)/(X²-4)=0
(-5X-6)/(X²-4)=0
-5X-6=0, X=-6/5 (X≠±2)
(X²+1)/(X²-4)-5/(X-2)=1
(X²+1)/(X²-4)-5(X+2)/(X²-4)-(X²-4)/(X²-4)=0
(-5X-5)/(X²-4)=0
-5X-5=0, X=-1 (X≠±2)
收起
X^2 5
————--- - ——— =1
(x+2)(x-2) x-2
通分得:
X^2 -5(x+2)
————----- =1
(x+2)(x-2)
所以有X^2 -5(x+2)=(x+2)(x-2)=X^2 -4
则-5(x+2)=-4
解得x=-1.2