Question 1111539: Given that A = {1, 2, 3 ……..20} and R is a ternary relation on A defined by equation
x^2 + 4y = z .Find the set of ordered triples of R.
Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!
Make an ordered list by starting with the smallest possible values for x and y and determine the corresponding value for z, according to the formula. Then, keeping x the smallest possible, increase y by 1 and again find the corresponding value for z; continue until the sum of x^2 and 4y is greater than 20.
Then repeat the entire process for increasing values of x, until there are no more solutions.
(x,y,z) =
(1,1,5), (1,2,9), (1,3,13), (1,4,17);
(2,1,8), (2,2,12), (2,3,16), (2,4,20);
(3,1,13), (3,2,17);
(4,1,20)
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