In Fig. 4.71, if 
, find the value of x.
AO/OC=BO/OD
3x-1/5x-3=2x+1/6x-5
(3x-1)(6x-5)= (2x+1) (5x-3)
18x2-15x-6x+5=10x2-6x+5x-3
18x2-21x+5=10x2-x-3
18x2-21x+5-10x2+x+3=0
8x2-20x+8=0
4(2x2-5x+2)=0
2x2-5x+2=0
2x2-4x-x+2=0
2x(x-2)-1(x-2)=0
(x-2)(2x-1)=0
x-2=0
x=2
Or, 2x-1=0
2x=1
x=1/2
But x=1/2 is not possible
So x=2
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