Construct a quadratic in x such that A.M. of its roots is A and G.M. is G.
Find the two numbers whose A.M. is 25 and GM is 20.
If a is the G.M. of 2 and \( \dfrac{1}{4}\) find a.
Find the geometric means of the following pairs of numbers:
(i) 2 and 8
(ii) a3b and ab3
(iii) –8 and –2
Insert 5 geometric means between \( \dfrac{32}{9}\) and \( \dfrac{81}{2}\).