CAS MA 505 Lecture Notes - Lecture 7: Cubic Function, Brahmagupta
27 Mar 2017
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In its original context, brahmagupta applied his discovery to the solution of what was later called pell"s equation, namely x2 ny2 = 1. compose triples (x1, y1, k1) and (x2, y2, k2) that were solutions of x2 ny2 = k, to generate the new triple. Solve for cubic equation: x = {q + [q2 + (r-p2)3]1/2}1/3 + {q - [q2 + (r-p2)3]1/2}1/3 + p p = -b/(3a), q = p3 + (bc-3ad)/(6a2), r = c/(3a) The greatest common divisor (gcd), which is also known as the greatest common factor (gcf), of two or more integers is the largest integer that is a common divisor (factor) of all the given integers. The greatest common divisor of two or more integers can be obtained in three steps: Step 2: list the common prime divisors (factors) with the least power of all the given integers. 375 = 3 53 = 3 52 5. 525 = 3 52 7 = 3 52 7.
