ECON 1530 Lecture 14: ECON 1530 Lecture 14 Notes – Quadratic Equations, Harder Cases and The General Case

• School: York University
• Department: Economics
• Course: ECON 1530
• Professor: John Paul Rilstone

Document Summary

Econ 1530 lecture 14 notes quadratic equations, harder cases and the general case. Introduction: this lecture reviews the method for solving quadratic (also called second-degree) equations, the general quadratic equation has the form, where a, b, and c are given constants, and x is the unknown. If we divide each term by a, we get the equivalent equation x2 + (b/a)x + c/a = 0. If p = b/a and q = c/a, the equation is: two special cases are easy to handle. If p = 0 (there is no term involving x), the equation (2) reduces to x2 + q = 0: the(cid:374) (cid:454)(cid:1006) = (cid:395), a(cid:374)d the(cid:396)e a(cid:396)e t(cid:449)o possi(cid:271)ilities. If q > 0, then the equation has no solutions. I(cid:374) the alte(cid:396)(cid:374)ati(cid:448)e (cid:272)ase (cid:449)he(cid:374) (cid:395) (cid:1095) (cid:1004), o(cid:374)e has: example, solve the equations, solution, di(cid:448)idi(cid:374)g ea(cid:272)h te(cid:396)(cid:373) (cid:271)(cid:455) (cid:1009) (cid:455)ields (cid:454)(cid:1006) (cid:894)(cid:1012)/(cid:1009)(cid:895)(cid:454) = (cid:454)(cid:894)(cid:454) (cid:1012)/(cid:1009)(cid:895) = (cid:1004), so (cid:454) = (cid:1004) o(cid:396) (cid:454) =