Question

1. What set of and y creates the Pythagorean triple 12, 35, and 37? Use the polynomial identity (z² + y²)² = (x² - y²)² + (2xy)².
x = 2 and y = 6
x = 5 and y = 2
x= 6 and y = 1
x = 4 and y = 3

PLEASE ITS DUE​

Answer 1

Answer:

  (c)  x = 6 and y = 1

Step-by-step explanation:

You want to know the values of x and y that make the set {2xy, x²-y², x²+y²} equal to the set {12, 35, 37}.

Clues

There are two clues that help you here:

1. The even number is 12, so 12 = 2xy, meaning xy = 6. There is only one answer choice that has a product of 6: x=6, y=1.
2. The difference between (x²+y²) and (x²-y²) is 2y². The corresponding difference between the two odd numbers is 37-35 = 2, so 2y²=2, meaning y=1. There is only one answer choice like that: x=6, y=1.

The values of x and y are (x, y) = (6, 1).