1. Let a and b be nonzero real numbers such that a^2 + b^2 + 2a + 1 = 2ab + 2b. Find the value of (b-1)/a
2.Let a be a constant such that the roots of ax^2 - 6x + 12 = 0 are r and s. Find the value of 1/r^2 + 1/s^2 in terms of a
One question per post, thanks.