Using euclid''s algorithm find the value of x & y, Mathematics

Assignment Help:

If d is the HCF of 30, 72, find the value of x & y satisfying d = 30x + 72y.

(Ans:5, -2 (Not unique)

Ans:    Using Euclid's algorithm, the HCF (30, 72)

72 = 30 × 2 + 12

30 = 12 × 2 + 6

12 = 6 × 2 + 0

HCF (30,72) = 6

6=30-12×2

6=30-(72-30×2)2

6=30-2×72+30×4

6=30×5+72×-2

∴ x = 5, y = -2

Also 6 = 30 × 5 + 72 (-2) + 30 × 72 - 30 × 72

Solve it, to get

x = 77, y = -32

Hence, x and y are not unique


Related Discussions:- Using euclid''s algorithm find the value of x & y

Help, how do I round a # and decimal

how do I round a # and decimal

Metric Units, How do I convert metric units?

How do I convert metric units?

Rounding whole numbers, Rounding whole numbers List the order in which ...

Rounding whole numbers List the order in which nancy, amy, ethel and cindy line up in single file to board the school bus. Then match the girls with their heights, which are fo

Interpretations of definite integral, Interpretations of Definite Integral ...

Interpretations of Definite Integral There are some quick interpretations of the definite integral which we can give here. Firstly, one possible interpretation of the defini

Example to compute limit, calculates the value of the following limit. ...

calculates the value of the following limit. Solution Now, notice that if we plug in θ =0 which we will get division by zero & so the function doesn't present at this

Possible outcome of a coin - probability based question, A coin is tossed t...

A coin is tossed twice and the four possible outcomes are assumed to be equally likely. If A is the event,  both head and tail have appeared , and B be the event at most one tail i

Find the Regular Grammar for the following Regular Expressio, Find the Regu...

Find the Regular Grammar for the following Regular Expression: a(a+b)*(ab*+ba*)b.

Interpretation of the second derivative, Interpretation of the second deriv...

Interpretation of the second derivative : Now that we've discover some higher order derivatives we have to probably talk regarding an interpretation of the second derivative. I

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd