document.write( "Question 69044This question is from textbook
\n" ); document.write( ": find the x-intercepts nad y-intercepts for the given circle?
\n" ); document.write( "(x^2)+(y^2)-4x-6y+4=0 ?? \n" ); document.write( "

Algebra.Com's Answer #49233 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%28x%5E2%29%2B%28y%5E2%29-4x-6y%2B4=0\"$ First group x's and y's together
\n" ); document.write( " $\"%28x%5E2%29-4x%2B%28y%5E2%29-6y=-4\"$ Then complete the square
\n" ); document.write( " $\"%28x%5E2-4x%2B4%29%2B%28y%5E2-6y%2B9%29=-4%2B4%2B9\"$ Simplify
\n" ); document.write( " $\"%28x-2%29%5E2%2B%28y-3%29%5E2=9\"$ to find x intercept, plug in y=0
\n" ); document.write( " $\"%28x-2%29%5E2%2B%280-3%29%5E2=9\"$
\n" ); document.write( " $\"%28x-2%29%5E2%2B9=9\"$
\n" ); document.write( " $\"sqrt%28%28x-2%29%5E2%29=sqrt%280%29\"$ Take square root
\n" ); document.write( " $\"%28x-2%29=0\"$
\n" ); document.write( " $\"x=2\"$ X-intercept is (2,0)
\n" ); document.write( "Use same procedure with y-intercept, let x=0
\n" ); document.write( " $\"%280-2%29%5E2%2B%28y-3%29%5E2=9\"$
\n" ); document.write( " $\"%28-2%29%5E2%2B%28y-3%29%5E2=9\"$
\n" ); document.write( " $\"4%2B%28y-3%29%5E2=9\"$
\n" ); document.write( " $\"%28y-3%29%5E2=9-4\"$
\n" ); document.write( " $\"sqrt%28%28y-3%29%5E2%29=sqrt%285%29\"$ take square root of both sides
\n" ); document.write( " $\"y-3=0%2B-sqrt%285%29\"$ (remember its both positive and negative $\"sqrt%285%29\"$ note: ignore the 0 in front of the plus/minus
\n" ); document.write( " $\"y=0%2B-sqrt%285%29%2B3\"$
\n" ); document.write( " $\"y=5.236+and+0.764\"$ of course these are approximate
\n" ); document.write( "So the y-intercepts are (0,5.236) and (0,0.764) \n" ); document.write( "

\n" );