How do you find the asymptotes for f(x)= (x)/(4x^2+7x+-2)?

Apr 20, 2017

${x}_{0} = \frac{- 7 - \sqrt{17}}{2}$
OR
${x}_{0} = \frac{- 7 + \sqrt{17}}{2}$
OR
${x}_{0} = \frac{- 7 - 9}{2} = - 8$
OR
${x}_{0} = \frac{- 7 + 9}{2} = 1$

Explanation:

Find, when there is $0$ in denominator.
${b}^{2} - 4 a c$
$49 - 32$ OR $49 + 32$
$17$ OR $81$
${x}_{0} = \frac{- 7 - \sqrt{17}}{2}$
OR
${x}_{0} = \frac{- 7 + \sqrt{17}}{2}$
OR
${x}_{0} = \frac{- 7 - 9}{2} = - 8$
OR
${x}_{0} = \frac{- 7 + 9}{2} = 1$