\(\frac{3}{x} + \frac{4}{{x + 1}}\) = 2 হলে, x এর মান-
Correct Answer: Option C
\(\frac{3}{x} + \frac{4}{{x + 1}} = 2\)
বা, \(\frac{3}{x} + \frac{4}{{x + 1}} = 2\)
বা, \(\frac{{3(x + 1) + 4x}}{{x(x + 1)}} = 2\)
বা, \(\frac{{3x + 3 + 4x}}{{{x^{2\;}} + x}} = 2\)
বা, 2x2 +2x=7x+3
বা, 2x2 +2x-7x-3 = 0
বা, 2x2 -5x-3 = 0
বা, 2x2 -6x+x-3 = 0
বা, 2x(x-3)+1(x-3) = 0
বা, (x-3)(2x+1) = 0
x-3 = 0 অথবা 2x+1 = 0
x =3 অথবা 2x= -1 x = \( - \frac{1}{2}\)
Download our app for free and access thousands of MCQ questions with detailed solutions