Question

Rewrite the equation given below in standard form : circlex² - 18x + y² - 8y - 8 = 0

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

x² - 18x + y² - 8y - 8 = 0​

circle standard form = ?

Step 02:

x² - 18x + y² - 8y - 8 = 0​

x:

`\text{ (}(-18)/(2))^2=(-9)^2=81`

y:

`((-8)/(2))^2=(-4)^2=16`

x² - 18x + 81 + y² - 8y + 16 = 8 + 81 + 16

(x - 9)² + (y - 4)² = 105

The answer is:

(x - 9)² + (y - 4)² = 105