Let and be the roots of the quadratic equation x^2-2bx+c^2=0 where b, c are positive real numbers. Let A be...

Question

Let and be the roots of the quadratic equation x^2-2bx+c^2=0 where b, c are positive real numbers. Let A be the arithmetic mean of and ; and G be the geometric mean of and . What are the roots of the quadratic equation x^2-(b+c)x+bc=0?

Accepted Answer

(A)

NDA 2026 Mathematics question

Solution

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