A) 2
B) \[-\,\,\frac{1}{12}\]
C) Both [a] and [b]
D) None of the above
Correct Answer: C
Solution :
\[\frac{2x+1}{5x}=\frac{6x-2}{9x-2}\] \[\Rightarrow \] \[(2x+1)(9x+2)=(6x-2)(5x)\] \[\Rightarrow \] \[18{{x}^{2}}+9x+4x+2\] \[=30{{x}^{2}}-10x\] \[\Rightarrow \] \[12{{x}^{2}}-23-2\] \[\Rightarrow \] \[12{{x}^{2}}-24x+x-2\] \[\Rightarrow \] \[12x(x-2)+1(x-2)\] \[\Rightarrow \] \[(12x+1)(x-2)\,\,\,\therefore x=2\,\,\text{or}-\frac{1}{12}\]You need to login to perform this action.
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