Badiuddin askIITians.ismu Expert
Last Activity: 15 Years ago
Dear kamlesh
let equation is
ax2 +bx+c=0 and root are x1 and x2 and a,b,c are integer
x1 +x2 =-b/a
give x1 and x2 are prime ,only possible if a=1
so x1 +x2 =-b/a
and x1*x2 =c
also given
a+b+c =prime number
or 1+b+c=prime number
put vale of b and c
1-(x1+x2) +x1*x2 =prime number
(x1-1)(x2-1)=prime number
only possible if one bracket is equal to 1
ie x1=2
and x2=3(prime number)
so sum x1+x2=2+3=5
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