Question: show that the roots of the equation are real and distinct for all real values of and
My workings:
Here . Now
This doesn't prove anything. Can you please help me? I don't have anyone to guide me.
Do you recall why you calculated that? It is the discriminant of the equation and a quadratic equation has distinct real roots if and only if its discriminant is positive. Since is a condition of the problem, what can you say about ?