If `a` is a positive number such that the arithmatic mean of a and 2 exceeds their geometric mean by 1. Then, the value of a is

Let a be a positive number such that the arithmetic mean of a and 2 exceeds their geometric mean by 1. Then the value of a

Let a be a positive number such that the arithmetic mean of a and 2 exceeds their geometric mean by 1. Then, the value of a is

Consider two positive numbers a and b. If arithmetic mean of a and b exceeds their geometric mean by 3/2, and geometric mean of aand b exceeds their harmonic mean by 6/5 then the value of a^2+b^2 will be

Consider two positive numbers a and b.If arithmetic mean of a and b exceeds their geometric mean by 3/2, and geometric mean of aand b exceeds their harmonic mean by 6/5 then the value of a^(2)+b^(2) will be

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

The arithmetic mean of two numbers is 10 and their geometric mean is 8. find the numbers.