a.)Explain in your own words what this problem is asking. b.)Explain the meaning of any notation used in the problem and in your solution. c.)Describe

BolkowN 2020-10-28 Answered
a.)Explain in your own words what this problem is asking.
b.)Explain the meaning of any notation used in the problem and in your solution.
c.)Describe the mathematical concept(s) that appear to be foundational to this problem.
d.)Justified solution to or proof of the problem.
Find the greatest common divisior of a,b, and c and write it in the form ax+by+cz for integers x,y, and z.
a=26,b=52,c=60
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Khribechy
Answered 2020-10-29 Author has 100 answers
Step 1
Consider the following information:
a=26,b=52,c=60
Greatest common divisor of 60 and 52:
60=52×1+8 ...(1)
52=8×6+4 ...(2)
8=4×2+0 ...(3)
Greatest common divisor of 60 and 52 is 4.
Greatest common divisor of 26 and 4:
26=4×6+2 ...(4)
4=2×2+0 ...(5)
Greatest common divisor of 26 and 4 is 2.
Step 2
From equation (4):
2=264×6
From equation (2):
2=26(528×6)×6
2=2652×6+8×36
From equation (1):
2=2652×6+(6052×1)×36
2=2652×6+60×3652×36
2=26(1)+(-42)52+(36)60
Hence, the solution is x=1,y=-42, z=36.
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question