Answer:
The arithmetic mean between m and n and the geometric mean between a and b are each equal to ma + nbm + n : find m and n in terms of a and b .
Step-by-step explanation:
- Property II: If A be the Arithmetic Means and G be the Geometric Means between two positive numbers m and n, then the quadratic equation whose roots are m, n is x^2 - 2Ax + G^2 = 0. ... Property III: If A be the Arithmetic Means and G be the Geometric Means between two positive numbers, then the numbers are A ± √A^2 - G^2.