30 th 

30.  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 coefficient of x to get roots (3, 2). Find correct roots of the equation.

Sachins would have been
(x-4)(x-3) = 0
x^2 - 7x + 12 = 0

Rahul's would have been
(x-3)(x-2) = 0
x^2 - 5x + 6 = 0

Sachin was wrong with the 12, should have been 6
Rahul was wrong with the -5x , should have been -7x
Equation should have been
x^2 - 7x + 6 = 0
(x-6)(x-1) = 0
x = 6 or x = 1