Raju and Raghav together have 26 marbles. Both of them lost 3 marbles each, and product of the number of marbles they now have is 91. We want to find out how many marbles they had with them to start. Represent problem mathematically in terms of a quadratic equation.
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so ,let raju have a number of marbles and raghav have b number of marvel.
given,a+b=26
(a-3)(b-3)=91
so here ab-3a-3b+9=91
ab -3 (a+b)=82
ab-3 (26)=82
ab-78=82
ab=160
hence ab=160 and a+b=26
we know x2-(a+b)x+ab=0
so if we putting of the value then we get,
x2-26x+160=0
x2-16x-10x+160=0
x(x-16)-10 (x-16)=0
(x-16)(x-10)=0
hence x=16 or X=10
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