دسویں جماعت · ریاضی · 4 سوالات
نام: ____________________ تاریخ: ____________
Partial fractions of 1 / (x (x + 1)) are:
A fraction is proper when the degree of the numerator is:
(x + 3) / ((x + 1)(x + 2)) = A/(x + 1) + B/(x + 2). What is A?
(x + 3) / ((x + 1)(x + 2)) = A/(x + 1) + B/(x + 2). What is B?
1. A, 2. C, 3. B, 4. A
1/x - 1/(x + 1) = ((x + 1) - x) / (x(x + 1)) = 1 / (x(x + 1)).
In a proper fraction the numerator has the lower degree.
Put x = -1: A = (-1 + 3) / (-1 + 2) = 2.
Put x = -2: B = (-2 + 3) / (-2 + 1) = -1.