I remember something about using the discriminant (b^2-4ac) and making it equal less than 0 to show there are no real roots/answers. I just can't remember what else to do. Could someone please show me full steps to solve a problem like this?
What I have figured out how to do so far:
1. Substitute the straight line equation into the hyperbola equation.
2. Form a quadratic equation. I think it was something like kx^2 + x(k+2) + 20.
3. Put this into the discriminant (b^2-4ac): (k+2)^2 - 4 x k x 20.
The second part of the question was to also show the possible 'range of values' for k.
Thank-you to anyone who can assist. I really appreciate it.