If arithmetic mean and geometric mean of roots of a quadratic equation are 8 and 5 respectively, then the quadratic equation is:

$x^2+8x+5=0$ $x^2-8x+25=0$ $x^2-16x+25=0$ $2x^2-8x+25=0$

$x^2-16x+25=0$

The correct answer is Option (3) → $x^2-16x+25=0$