plz help me frnds...
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suppose deepu has got 'a' no of marbles
while sudhir got 'b' no of marbles.
now
a/q a + b =26
after losing 3 marbles , deepu got = a-3 marbles
sudhir got = b-3 marbles
a/q (a-3)(b-3) = 91 ⇒ ab - 3(a+b) +9 = 91
⇒ ab - 3(26) = 82
⇒ ab = 82 +78 = 160
now forms a quadratic equation, whose roots are a and b
sum of roots = a + b = 26
product of roots = ab = 160
so eq = x² - 26x +160 = 0
roots a = 16 and b = 10
hope this helps.
while sudhir got 'b' no of marbles.
now
a/q a + b =26
after losing 3 marbles , deepu got = a-3 marbles
sudhir got = b-3 marbles
a/q (a-3)(b-3) = 91 ⇒ ab - 3(a+b) +9 = 91
⇒ ab - 3(26) = 82
⇒ ab = 82 +78 = 160
now forms a quadratic equation, whose roots are a and b
sum of roots = a + b = 26
product of roots = ab = 160
so eq = x² - 26x +160 = 0
roots a = 16 and b = 10
hope this helps.
jahidsonu:
thanks bro...
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Step-by-step explanation:
Let number of marbles deepak and sudhir has be x and y
after loosing 3 marbles deepak has x-3 marbles and sudhir has y-3 marbles
the product of marbles afyer this situation is 91
(x-3) × (y-3) =91
xy=82+ 3(x+y)
xy=82+ 3×26
xy=160
product of roots=xy
sum of roots =x+y
so the equation
x2-26x+160
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