(3/x) + {4/(x + 1)} = 2 হলে x এর মান কত?

প্রশ্ন: (3/x) + {4/(x + 1)} = 2 হলে x এর মান কত?

সমাধান:
(3/x) + {4/(x + 1)} = 2
{3(x + 1) + 4x}/{x(x + 1)} = 2
3x + 3 + 4x/(x² + x) = 2
(7x + 3)/(x² + x) = 2
2x² + 2x = 7x + 3
2x² + 2x - 7x - 3 = 0
2x² - 5x - 3 = 0
2x² - 6x + x - 3 = 0
2x(x - 3) + 1(x - 3) = 0
(x - 3)(2x + 1) = 0

হয়
x - 3 = 0
x = 3

অথবা
2x + 1 = 0
2x = - 1
x = - 1/2