Answer:
The answer to your question is diameter = [tex]2\sqrt{61}[/tex]
Step-by-step explanation:
2x² + 2y² - 20x - 20y - 22 = 0
Solution
2x² - 20x + 2y² - 20y = 22
2(x² - 10x ) + 2(y² - 10y ) = 22
Complete perfect square trinomials
2(x² - 10x + 5²) + 2(y² - 10y + 5²) = 22 + 50 + 50
Factorize
2(x - 5)² + 2(y - 5)² = 122
(x - 5)² + (y - 5)² = 61
radius = [tex]\sqrt{61}[/tex]
diameter = 2r
diameter = 2[tex]\sqrt{61}[/tex]
