Question

What will be quadratic equation in x when the roots have arithmetic mean A and the geometric mean G?

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

Let a and b two numbers.
Then, $A=\frac{a+b}{2}$
a+b =2A and $G^2=ab$
The equation whose roots are a and b is
$x^2–(a+b)x+ab=0$
$\Rightarrow x^2-2Ax+G^2=0$