Question

complete the square x^2-6x+y^2+5=0 and write the equation of the circle in standard form.

Answer 1

Do you know how to complete the square
First of all, do you know what to add here in order for this to be a complete square:
\[x^2+bx+?\]

Answer 2

what should that ? mark be?

Answer 3

\[x^2+bx+(\frac{b}{2})^2\]
\[\text{ Just make sure the coefficient of } x^2 \text{ is } 1 \]
\[\text{ then look at the coefficient of the middle term (the guy with the x in it}\]
\[\text{ add the square of the quotient of that number and 2 } \]

Answer 4

So ...

Answer 5

You find what we need to add here:
\[x^2-6x+?\]