hi, i just want to check my answer against someone else's here, my textbook tells me a different answer to what i'm getting. i think the books wrong, could someone tell me if i'm right please:

by considering the discrimination of the resulting quadratic, determine the number of points of intersection of the following line and curve:

line and curve

the book says two points of intersection and discriminant = 97

but i say two points of intersection and discriminant = 241

thanks