The ratio of the A.M

MATHEMATICS · Subjective · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

10. The ratio of the A.M. and G.M. of two positive numbers aa and bb, is m:nm: n. Show that a:b=(m+m2−n2):(m−m2−n2)a: b=\left(m+\sqrt{m^{2}-n^{2}}\right):\left(m-\sqrt{m^{2}-n^{2}}\right).

Related theory

Browse the problem library