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complete the square x^2-6x+y^2+5=0 and write the equation of the circle in standard form.
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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: \[x^2+bx+?\]
what should that ? mark be?
\[x^2+bx+(\frac{b}{2})^2\] \[\text{ Just make sure the coefficient of } x^2 \text{ is } 1 \] \[\text{ then look at the coefficient of the middle term (the guy with the x in it}\] \[\text{ add the square of the quotient of that number and 2 } \]
So ...
You find what we need to add here: \[x^2-6x+?\]
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