# Math Help - unique solution

1. ## 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}
$

2. 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

3. YES