" Construct a quadratic in "x" such that "A.M" .of its roots is "A" and G.M.is G."

Construct a quadratic equation in x such that the A.M. of its roots is A and G.M. is G.

If the A.M of the roots of a quadratic in x is 3 and G.M is 2 sqrt2 , then the quadratic is

Find two numbers whose A.M. is 5 and G.M. is 4.

Find two numbers whose A.M. is 34 and G.M. is 16.

Let A,G and H be the A.M,G.M and H.M two positive numbers a and b. The quadratic equation whose roots are A and H is

If the A.M of the roots of a quadratic equation in x is 3 and G.M is 2sqrt(2) ,then the quadratic is

If the A.M. of the roots of a quadratic equation is (8)/(5) and the A.M. of their reciprocals is (8)/(7) then the equation is

p, q, r and s are integers. If the A.M. of the roots of x^(2) - px + q^(2) = 0 and G.M. of the roots of x^(2) - rx + s^(2) = 0 are equal, then