Question

The quadratic equation whose roots are A.M and H.M of the roots of the equation
$x^2-10x+15=0$ is

Answer 1

sum $=10$

product $=15$

$AM=sum/2⟹AM=5$

$HM=\frac{2\times product}{sum}⟹\frac{30}{10}⟹3$

equation whose roots are $5$ and $3$ is $x^2-8x+15=0$