Given that [a - 6 sqrt(5)] x [2 + b sqrt(5)] = -82, where a and b are rational numbers, find the possible values of a and b
[Ans = a = 4, b =3, or a = -45, b = -4/15]
I have expanded the expression to obtain
2a + sqrt 5 (ab-12) - 30 b = 82, but I don't know how to proceed to get simulataneous equations to solve for a and b.
Please help.
Thanks