(3/x) + {4/(x + 1)} = 2, x এর মান-

প্রশ্ন: (3/x) + {4/(x + 1)} = 2, x এর মান-

সমাধান:
3/x + 4/(x + 1) = 2
⇒ {3(x + 1) + 4x}/{x(x + 1)} = 2
⇒ 3x + 3 + 4x = 2(x² + x)
⇒ 7x + 3 = 2x² + 2x
⇒ 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
∴ x = - 1/2