(如图)
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(如图)
(如图)
(如图)
X=7
(x-4)/(x-5)+(x-8)/(x-9)=(x-7)/(x-8)+(x-5)/(x-6)
(X-4)/(X-5)-(X-5)/(X-6)=(X-7)/(X-8)-(X-8)/(X-9)
[(x-4)(x-6)-(x-5)^2]/(x-5)(x-6)=[(x-7)(x-9)-(x-8)^2]/(x-8)(x-9)
(x^2-10x+24-x^2+10x-25)/(x^2...
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(x-4)/(x-5)+(x-8)/(x-9)=(x-7)/(x-8)+(x-5)/(x-6)
(X-4)/(X-5)-(X-5)/(X-6)=(X-7)/(X-8)-(X-8)/(X-9)
[(x-4)(x-6)-(x-5)^2]/(x-5)(x-6)=[(x-7)(x-9)-(x-8)^2]/(x-8)(x-9)
(x^2-10x+24-x^2+10x-25)/(x^2-11x+30)=(x^2-16x+63-x^2+16x-64)/(x^2-17x+72)
整理得：
-1/(x^2-11x+30)=-1/(x^2-17x+72)
即：
x^2-11x+30=x^2-17x+72
17x-11x=72-30
6x=42
x=7
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X-4 X-8 X-7 X-5
---- + ---- = ---- + ----
X-5 X-9 X-8 X-6
X-8 X-7 X-5 X-4
---- - ---- = ---- - ----
X-9 X-8 X-6 X-5
X^2-16X+64 - X^2+16X-...
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X-4 X-8 X-7 X-5
---- + ---- = ---- + ----
X-5 X-9 X-8 X-6
X-8 X-7 X-5 X-4
---- - ---- = ---- - ----
X-9 X-8 X-6 X-5
X^2-16X+64 - X^2+16X-63 X^2-10X+25 - X^2+10X-25
--------------------------------- = ---------------------------------
(X-9)(X-8) (X-6)(X-5)
1 1
------------ = ------------
(X-9)(X-8) (X-6)(X-5)
(X-9)(X-8) = (X-6)(X-5)
X^2-17X+72 = X^2-11X+30
6X = 42
X = 7
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