prove that the line with the equation
and the curve with equation
have no points of intersection
i started by putting the first equation into the second after making the first equation
. so it became
then expanded the brackets. so first i squared the first bracketed term and made it
then expanded the second and made it
so i was left with
which then came to
and used the discriminant theory to make sure it came to less than 0. i came up with
for the discriminant. so -80 was the discriminant. but my book says its -39. can someone explain where i went wrong with this? thanks