$\"\"$

The circle equation is $\"\"$ .

$\"\"$ (Simplify)

First find the x-intercept let y = 0 in the original eequation.

$\"\"$ (Substitute y = 0)

$\"\"$ (Simplify)

$\"\"$ (Take square root each side)

$\"\"$ (Simplify)

x = 3

The x-intercept is 3. $\"\"$

Next find the y-intercept let x = 0 in the original eequation.

$\"\"$ (Substitute x = 0)

$\"\"$ (Simplify)

$\"\"$ (Take square root each side and $\"\"$ )

$\"\"$ (Simplify)

$\"\"$

$\"\"$ (Simplify)

In this case roots are imaginary, so there is no y-intercepts. $\"\"$

The x-intercept is 3. and the y-intercepts are none.