If arithmetic mean and geometric mean of roots of a quadratic equation are 8 and 5 respectively, then the quadratic equation is:
Answer & explanation
Correct answer: option 3
In a quadratic equation,
arithmetic mean of roots = 8
(a+b)/2 = 8
a+b = 16
geometric mean of roots = 5
√(ab) = 5
ab = 25
Quadratic Equation:
$x^2-(Sum of Roots)x+(Product of Roots)=0$
The correct answer is Option (3) → $x^2-16x+25=0$