Question

Find the equation whose sum of roots and product of roots are the product and sum of roots of $x^2+5x+6=0$ respectively.

• A. $x^2-6x-5=0$
• B. $x^2-5x-6=0$
• C. $x^2+11x-1=0$
• D. None of the above

Answer 1

The correct option is A $x^2-6x-5=0$

In the given equation
sum of roots $=-5$ and product of roots $=6$
The standard form of a quadratic equation is: $x^2-\left(S\right)x+P=0$, where S and P are sum and product of roots.
So according to question
$x^2-\left(6\right)x+(-5)=0$
The required equation will be $x^2-6x-5=0$