Answer:
x² + y² - 10x + 8y + 16 = 0
x² - 10x + 25 + y² + 8y + 16 = -16 + 41
(x - 5)² + (y + 4)² = 25
Step-by-step explanation:
This is a complete-the-square circle
1. Group the x and y terms together
2. Complete the square for each term
3. Use difference of squares to factor it out.
Hope this helps!
(If this answer helps you, please consider giving it the 'brainliest' option, it would really help! Thanks)
The square of a binomial expands as follows:

Expanding all the binomials, we have

Sum like terms:

Simplify terms appearing on both sides:

Move all terms involving k to the left and all numbers to the right:

Divide both sides by -20:

Mode (most occurring) - 4
mean (average) - 8
median (middle number from least to greatest) - 4