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A quadratic equation with integral coafficients has two prime numbers as its roots. if the sum of the coefficients of the equation is prime then the sum of the roots is ?

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10 years ago 147 Points
```							Dear kamleshlet equation isax2 +bx+c=0   and root are x1 and x2 and a,b,c are integerx1 +x2 =-b/a   give x1 and x2 are prime ,only possible if a=1so x1 +x2 =-b/a   and x1*x2 =calso givena+b+c =prime numberor 1+b+c=prime numberput vale of b and c1-(x1+x2) +x1*x2 =prime number(x1-1)(x2-1)=prime numberonly possible if one bracket is equal to 1ie x1=2and x2=3(prime number)so sum x1+x2=2+3=5Please feel free to post as many doubts on our discussion forum as you can. If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We are all IITians and here to help you in your IIT JEE  & AIEEE preparation. All the best. Regards,Askiitians ExpertsBadiuddin
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10 years ago
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