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Let alpha and beta be the roots of ax^2+bx+c=0 and alpha1 and -beta be the roots so a1x^2+b1x+c1=0, then find a quadratic equation whose roots are alpha and alpha1 and prove that equation is x^2/(b/a+b1/a1)+x+1/(b/c+b1/c1)=0

Let alpha and beta be the roots of ax^2+bx+c=0 and alpha1 and -beta be the roots so a1x^2+b1x+c1=0, then find a quadratic equation whose roots are alpha and alpha1 and prove that equation is x^2/(b/a+b1/a1)+x+1/(b/c+b1/c1)=0

Grade:10

1 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
2 years ago
Dear student

Please find the link below

https://www.askiitians.com/revision-notes/maths/quadratic-equations/
The formula will be helpfull in simplification

Regards

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