Question

Deepak and Sudhir together have 26 marbles. Both of them gave 3 marbles to Romil and the product of
the number of marbles they now have is 91. Represent the problem mathematically in terms of a quadratic
equation and find out how many marbles they had to start with?
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Answer 1

Answer:

x²-26+160=0

no of marbles: 16 & 10

Step-by-step explanation:

let x be the number of marbles Sudhir have

let (26-x) be the number of marbles Deepak have.

(x-3)(26-x-3)=91

(x-3)(23-x)=91

23x -69-x²+3x=91

x²-26x+160=0

x= -b+-✓(b²-4ac)/2a

x= 26+-✓(676-4*160)/2

x= 26+-✓(676-640)/2

x=26+&✓36/2

x= 26+-6/2

for +6, x= 32/2=16

for -6, x=20/2=10

the number of marbles they had to start with : 16 & 10

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