M135F08A5 - MATH 135 Fall 2008 Assignment#5 Due Thursday 23...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: MATH 135 Fall 2008 Assignment #5 Due: Thursday 23 October 2008, 8:20 a.m. Hand-In Problems 1. In each part, state the answer. No justification is necessary. (a) Does the linear Diophantine equation 15 x + 39 y = 28 have any solutions? (b) Does the linear Diophantine equation- 148 x- 370 y = 111 have any solutions? (c) Determine the complete solution to 1980 x- 1923 y = 9. (d) Determine the prime factorization of 22 680. (e) Determine the prime factorization of 66 150. (f) Determine gcd(22 680 , 66 150). (g) Determine the number of positive divisors of 22 680. (h) A positive divisor of 22 680 is chosen at random. What is the probability that this divisor is even? 2. Determine all non-negative integer solutions to the linear Diophantine equation 176 x + 256 y = 5200. 3. The complete solution to the linear Diophantine equation 1911 x + 741 y = 273 is x = 49 + 19 n y =- 126- 49 n n ∈ Z . (You do not need to show this.) Determine all non-negative solutions to the linear Diophantine equation 1911...
View Full Document

{[ snackBarMessage ]}

Page1 / 2

M135F08A5 - MATH 135 Fall 2008 Assignment#5 Due Thursday 23...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online