Prove that the two equations have one solution if the following two conditions are satisfied:

B*D = E*A

and

A*E^2 - D*B^2 = 4*A*D*(F-C)

As you know, this is simply a special case.

Your answer is right always. I mean, your condition is satisfied in this case too.

?? It's the condition, so what more are you expecting? Did you want the single solution too? It wasn't asked for was it?

Bob

Sorry for not being clearer.

I meant there are more conditions, if satisfied; the two equations will have one solution too.

Bob

]]>Bob

Your answer is right, but this is half the journey only.

]]>Bob

]]>Find the condition or conditions that the constants A, B, C, D, E, F need to satisfy so that the following two equations have one solution only:

y = A*x^2 + B*x + C

y = D*x^2 + E*x + F

Good luck,

Kerim