The parabola \(y = x^2+2\) and the hyperbola \(y^2 - mx^2 = 1\) are tangent. Find \(m.\)
+118608 Hyperbolas and parabolas are not tangents. That makes no sense.
I assume you mean that they only touch each other in one place. Which means they have only one simultaneous solution.
I would try making x^2 the subject of the formula for the first equation.
then
substitute this value of x^2 inot the second equation.
then
solve the new equation as an quadratic. You may then have 2 values for y (in terms of m)
and
etc
Try that and get back with what you have done.
No one answer over me. Thanks
