If a is the arithmetic mean and g is the geometric mean of two numbers, then

The difference between the arithmetic mean and geometric mean of two positive numbers is 16. If the ratio of the numbers is 1:25 find the numbers

If A and G are the arithmetic and geometric means respectively of two numbers then prove that the numbers are (A+sqrt(A^(2)-G^(2)))and(A-sqrt(A^(2)-G^(2)))

The arithmetic mean and geometric mean of two numbers are 14 and 12 respectively. What is the harmonic mean of the numbers

The arithmetic mean A of two positive numbers is 8. The harmonic mean H and the geometric mean G of the numbers satisfy the relation 4H + G^(2) = 90 . Then one of two numbers is _____.

If A is the arithmetic mean and G_(1), G_(2) be two geometric mean between any two numbers, then prove that 2A = (G_(1)^(2))/(G_(2)) + (G_(2)^(2))/(G_(1))

The harmonic mean of two numbers is 4, their arithmetic mean 'A' and the geometric mean G satisfy the relation 2A + G^(2) = 27 . Find the numbers.

The harmonic mean and the geometric mean of two numbers are 10 and 12 respectively. What is their arithmetic mean?