Question

If \x+\frac{1}{x}1/x = 5\), then the value of $\frac{3x^2+3}{2x^2+5x+2}$ = ?

• A. 2
• B. 1
• C. 3
• D. 4
• E. None of these

Answer 1

The correct option is B

1

$x+\left(\frac{1}{x}\right)=5$

$\frac{3x^2+3}{2x^2+5x+2}$

= $\frac{3(x+\frac{1}{x})}{2(x+\frac{1}{x})+5}$​​ - (Dividing numerator and denominator by x)

= 3$\times$5/(2$\times$5 + 5)

= 15/15 = 1