Answer:
Step-by-step explanation:
x² + y² - 14x - 10y = 250
(x² - 14x) + (y² - 10y) = 250
Divide the co efficient of x by 2 ⇒ 14÷2 = 7
Divide the co efficient of y by 2 ⇒ 10÷ 2 = 5
Now, add 7² and 5² to both sides of equation. {addition property of equality}
(x²- 2*7x + 7²) + (y² - 10y + 5²) = 250 + 7² + 5²
(x - 7)² + (y - 5)² = 250 +49 + 25
(x -7)² + (y - 5)² = 324
(x -7)² + (y - 5)² = 18²
Radius = 18
