Solution of Quadratic Equations with Complex Coefficients

Forrest Howard
Submitted by: Brother John F. O'Connell, C. F.X., St.
John's Preparatory School, Danvers, Massachusetts

The principle basis of this program is from the discussion of
quadratic equation with complex coefficients in INTERMEDI-
ATE MATHEMATICS, PART II (SMSG, Yale University Press,
1961), Section 12-5, pp. 707-710. To get around the diffi-
culty of working with the definition of

i = sqrt(-1)

since the computer will reject the square root of a negative
number, the rectangular form of z = a+ bi is converted to the
polar form for the operations upon z and then back to the
rectangular form for the output. The theorem included in the
reference mentioned above indicates that some problems will
have two solutions, while others will have only one. The
example problems included with this program indicate that
this is quite so.

Minimum Hardware:
4K PDP-8/S
Source Language:

Catalog: July 1973