Q. Given that

and

are roots of the equation

, find a quadratic equation with integer coefficients whose roots are

and

My working for this question basically gave me a wrong answer although i see it as perfectly ok. I basically used the quadratic formula and got

and then i divided each one by 2 again giving the same answer but over 4. Then i just made brackets using the answer and got:

which expands to give

But the answer im supposed to get is

which i can't get. I f anyone could see whats wron with my method and show me how to get the right answer that'd be great unfortunatley my notes arent eith me atm thnx