Final answer:
The question mixes concepts of asymptotes and quadratic equations, which are unrelated. Asymptotes are lines that a graph approaches but doesn't intersect, related to rational functions, not quadratic equations. To solve quadratic equations, one would use the quadratic formula.
Step-by-step explanation:
The student's question concerning asymptotes appears to include a typo or confusion with the inclusion of an equation that does not relate to the concept of asymptotes. Asymptotes are lines that a graph approaches but does not cross. They are typically associated with functions such as rational functions, not quadratic equations. The examples provided are quadratic equations that can be solved using the quadratic formula, but they do not pertain to asymptotes.
Quadratic equations are of the form ax² + bx + c = 0, and asymptotes are not applicable here. If the student requires solving a quadratic equation, they can apply the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a). It's important to correctly identify the coefficients a, b, and c in the quadratic equation to use this formula.
If the student meant to identify asymptotes for a rational function, they would need to provide an equation of a different form, typically the ratio of two polynomials. In such a case, the vertical asymptotes are found when the denominator equals zero, and horizontal or slant asymptotes depend on the degrees of the numerator and denominator polynomials.