Question

x-1/x-2+x-3/x-4 = 3 1/2

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Step-by-step explanation:

1.    x-1/x-2+x-3/x-4=31/2
2. (x-2)(x-4)+(x-3)(x-2)/(x-2)(x-4)=31/2           (∵cross multiplication)
3. x²-4x-2x+8+x²-2x-3x+6/x²-4x-2x+8=31/2
4. 2x²-11x+14/x²-6x+8=31/2
5. 2(2x²- 11x+14)=31(x²-6x+8)                  (again cross multiplication)
6. 4x²-22x+28=31x²-186x+248
7. 31x²-186x+248-4x²+22x-28=0               (take RHS to LHS )
8. 27x²-164x+220=0
9. x=28896+√5136/54 and x=28896-√5136/54              

                                                     (solving 27x²-164x+220=0 by quadratic formula)  

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