Question
If A and G are respectively the A.M. and G.M. between two positive numbers a and b, then proof the quardratic equation having a, b as it roots is 
Solution
Since A is the A.M. between a and b
∴ A = ![<pre>uncaught exception: <b>mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array)
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...(i)
Since G is the G.M. between a and b
∴ G = 
...(ii)
From (i), a + b = 2A
∴ Sum of the roots = 2A = S (Say)
From (ii), ab = G2
∴ Product of the roots = G2 = P (say)
Required quadratic equation having a and b as its roots is 
or 
