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
I don't see what's so complicated...
Let's try it a different way
Substitute into the first equation.
Checking the discriminant
.
So the answer is two solutions with .
Having said that, my first method was also correct, because notice that if you divide both sides of the equation
by 2, we get the same equation as before
.