Question

Sachin and Rahul attempted to solve a quadratic equation. Sachin made a mistake in writing down the constant term and ended up in roots (4,3) . Rahul made a mistake in writing down the coefficient of x to get roots (3,2) . Find the correct quadratic equation.​

Answer 1

Hi,

Explanation:

Let's assume the quatradic equation to be

`y=x^2+bx+c\\Sachin: y=x^2+bx+c'=(x-4)(x-3) \ \Longrightarrow\ b=-7\ and\ c'=12\\Rahul:y=x^2+b'x+c=(x-3)(x-2) \ \Longrightarrow\ c=6\ and\ b'=-5\\\\\boxed{y=x^2-7x+6}=(x-1)(x-6)`