If A and G be the A.M and G.M between two positive number then the numbers are A + (A^2 – G^2)^1/2,A – (A^2 – G^2)^1/2.(a) True(b) FalseThis question was addressed to me during an interview.This intriguing question comes from Arithmetic and Geometric Mean topic in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

If A and G be the A.M and G.M between two positive number then the num

1.	If A and G be the A.M and G.M between two positive number then the numbers are A + (A^2 – G^2)^1/2,A – (A^2 – G^2)^1/2.(a) True(b) FalseThis question was addressed to me during an interview.This intriguing question comes from Arithmetic and Geometric Mean topic in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» The CORRECT choice is (a) True To EXPLAIN: The equation having its ROOTS as given equation is x^2 – 2Ax + G^2 = 0 which implies x = A + (A^2 – G^2)^1/2,A – (A^2 – G^2)^1/2.

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