62.9k views
3 votes
2) If x+y=6 and xy=5 find x-y?​

User My Work
by
5.6k points

1 Answer

5 votes

Answer:

  • x - y = ± 4

Explanation:

Given

  • x + y = 6 and xy = 5

To find

  • x - y

Solution

  • (x - y)² = (x + y)² - 4xy = 6² - 4*5 = 36 - 20 = 16 = 4²
  • (x - y)² = 4²
  • x - y = ± 4
User Vishal Kumar
by
5.6k points