Write the quadratic equation, the arithmetic and geometric means of whose roots are A and G respectively.

Show that the arithmetic means of two positive numbers can never be less than their geometric mean. The arithmetic and geometric means of two positive numbers are 15 and 9 respectively. Find the numbers.

Write the quadratic equation whose roots are –2 and –3 .

Write the quadratic equation whose roots are 5/2 and 8/3 .

If a is positive and if A and G are the arithmetic mean and the geometric mean of the roots of x^(2)-2ax+a^(2)=0 respectively , then a) A=G b) A=2G c) 2A=G d) A^(2)=G

The quadratic equation whose roots are -2,1 is

If a is the arithmetic mean and g is the geometric mean of two numbers, then

The quadratic equation whose roots are the arithmetic mean and the harmonic mean of the roots of the equation x^(2)+7x-1=0 is

Obtain a quadratic equation whose roots are -3 and -7.