MCQ
સમીકરણ $3\left(x^2+\frac{1}{x^2}\right)-2\left(x+\frac{1}{x}\right)+5=0$ ના વાસ્તવિક ઉકેલોની સંખ્યા $.............$ છે.
- A$4$
- ✓$0$
- C$3$
- D$2$
$3\left[\left(x+\frac{1}{x}\right)^2-2\right]-2\left(x+\frac{1}{x}\right)+5=0$
Let $x +\frac{1}{ x }= t$
$3 t ^2-2 t -1=0$
$3 t ^2-3 t + t -1=0$
$3 t ( t -1)+1( t -1)=0$
$( t -1)(3 t +1)=0$
$t =1,-\frac{1}{3}$
$x +\frac{1}{ x }=1,-\frac{1}{3} \Rightarrow \text { No solution. }$
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