If (x-2)(x-4)(x-6)(x-10)=(x-1)(x-5)(x-7)(x-9) then x is

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03 May 2013 Solve

If (x-2)(x-4)(x-6)(x-10)=(x-1)(x-5)(x-7)(x-9) then x is

OPtion

1) 6/5
2) 7/2
3) 11/2
4) 6
5) 21/2
6) 7
7) 9
8) 11
9) 13
10) None of these

Solution

(x-2)(x-4)(x-6)(x-10)=(x-1)(x-5)(x-7)(x-9)
(x^2-6x+8)(x^2-16x+60)=(x^2-6x+5)(x^2-16x+63)
(x^2-6x+8)/(x^2-6x+5)=(x^2-16x+63)/(x^2-16x+60)
By using componendo and divinendo we get
x=11/2
ans option 3

Correct Option: 3 Best Solution (8)