[size=85]x⁴ + 2x² [b]y²[/b] + a [b]y[/b]⁴ - x³ + 3x [b]y²[/b] = 0 [br] Biquadratic equation, the solution [b]y[/b]=y([b]x[/b]) of which is found by the formulas[url=https://eqworld.ipmnet.ru/en/solutions/ae/ae0104.pdf] EqWorld[/url]. The branches of the implicit function generally correspond to the real functions f(x) on the considered domains of definition of the implicit function.[br] The vertical asymptotes are found using the [url=https://en.wikipedia.org/wiki/Implicit_function_theorem]implicit function theorem[/url] and the calculations are done in CAS.[br] *Following [url=https://www.geogebra.org/m/kwdbdznt]applet[/url]: Branches of an implicitly defined biquadratic curve found using complex functions.[/size]