Answer :

Let the root of the quadratic equation be a and b.


According to the given condition,



a + b = 2A …..(1)


GM = √ab = G


= ab = G2…(2)


The quadratic equation is given by,


x2x (Sum of roots) + (Product of roots) = 0


x2 x (2A) + (G2) = 0


x2 – 2Ax + G2 = 0 [Using (1) and (2)]


Thus, the required quadratic equation is x2 – 2Ax + G2 = 0.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

If AM and GM of tRD Sharma - Mathematics

If AM and GM of rRD Sharma - Mathematics

Write the quadratRS Aggarwal - Mathematics

<span lang="EN-USRD Sharma - Mathematics

Find the two numbRD Sharma - Mathematics

Insert 5 geometriRD Sharma - Mathematics

If a, b, c are inRD Sharma - Mathematics

Prove that the prRD Sharma - Mathematics

Construct a quadrRD Sharma - Mathematics

If a, b, c are inRD Sharma - Mathematics