求此题详解,求ⅹ
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(5x-96)/(x-19) + (x-8)/(x-9) = (4x-19)/(x-6) + (2x-21)/(x-8)
[5 - 1/(x-19)] + [1 + 1/(x-9)] = [4 + 5/(x-6)] + [ 2 - 5/(x-8) ]
- 1/(x-19) + 1/(x-9) = 5/(x-6) - 5/(x-8)
-10/[(x-19)(x-9)] = -10/[(x-6)(x-8)]
(x-19)(x-9) = (x-6)(x-8)
x^2-28x+171 =x^2-14x+48
14x=123
x=123/14
[5 - 1/(x-19)] + [1 + 1/(x-9)] = [4 + 5/(x-6)] + [ 2 - 5/(x-8) ]
- 1/(x-19) + 1/(x-9) = 5/(x-6) - 5/(x-8)
-10/[(x-19)(x-9)] = -10/[(x-6)(x-8)]
(x-19)(x-9) = (x-6)(x-8)
x^2-28x+171 =x^2-14x+48
14x=123
x=123/14
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