# unique solution

• January 2nd 2011, 08:00 AM
dhiab
unique solution
Given a and b in R for the system are unique solution :

$
(x-1)^{2}+(y+1)^{2}=b
$

$
y = x^{2}+(2a+1)x+a^{2}
$
• January 2nd 2011, 08:36 AM
FernandoRevilla
Quote:

Originally Posted by dhiab
Given a and b in R for the system are unique solution :

$
(x-1)^{2}+(y+1)^{2}=b
$

$
y = x^{2}+(2a+1)x+a^{2}
$

Do you mean: find values of $a$ and $b$ such that the system has unique solution?

Fernando Revilla
• January 2nd 2011, 09:34 AM
dhiab
YES