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  •  The number of real solutions of the equation <img alt="3\left(x^2+\frac{1}{x^2}\right)-2\left(x+\frac{1}{x}\right)+5=0" src="https://entrancecorner.oncodecogs.com/gif.latex?3%5Cleft%28x%

 The number of real solutions of the equation 3\left(x^2+\frac{1}{x^2}\right)-2\left(x+\frac{1}{x}\right)+5=0, is

Option: 1

0


Option: 2

3


Option: 3

4


Option: 4

2


Answers (1)

best_answer

\begin{aligned} & 3\left[\left(x+\frac{1}{x}\right)^2-2\right]-2\left[x+\frac{1}{x}\right]+5=0 \\ & 3 t^2-2 t-1=0 \\ & 3 t^2-3 t+t-1=0 \\ & (3 t+1)(t-1)=0 \\ & t=1, t=\frac{-1}{3} \end{aligned}

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