3/x + 4/ (x+1) = 2 হলে x এর মান কত?
Solution
Correct Answer: Option B
3/x + 4/(x+1) = 2
⇒ (3x + 3 + 4x)/x(x+1) = 2
⇒ 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
∴ x = 3, -1/2
⇒ (3x + 3 + 4x)/x(x+1) = 2
⇒ 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
∴ x = 3, -1/2
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