document.write( "Question 739122: Find K so that the circle X2+y2+kx+4y-5 will pas through the point (5,1). \n" ); document.write( "

Algebra.Com's Answer #451019 by MathLover1(20849) $\"\"$ $\"About$

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$\"x%5E2%2By%5E2%2Bkx%2B4y-5+=0\"$ will pas through the point (5,1).\r
\n" ); document.write( "\n" ); document.write( " $\"kx=5-x%5E2-y%5E2-4y\"$ if $\"x=5\"$ and $\"y=1\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"k%2A5=5-5%5E2-1%5E2-4%2A1\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"5k=5-25-1-4\"$
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\n" ); document.write( " $\"5k=-25\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"k=-5\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2%2By%5E2-5x%2B4y-5+=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x%5E2-5x%2B25%2F4%29-25%2F4%2B%28y%5E2%2B4y%2B4%29-4+=5\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x-5%2F2%29%5E2%2B%28y%2B2%29%5E2=5%2B25%2F4%2B4\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x-5%2F2%29%5E2%2B%28y%2B2%29%5E2=5%2B25%2F4%2B4\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x-5%2F2%29%5E2%2B%28y%2B2%29%5E2=9%2B25%2F4\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x-5%2F2%29%5E2%2B%28y%2B2%29%5E2=36%2F4%2B25%2F4\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x-5%2F2%29%5E2%2B%28y%2B2%29%5E2=61%2F4\"$ \r
\n" ); document.write( "\n" ); document.write( "center: ( $\"5%2F2\"$ , $\"-2\"$ )\r
\n" ); document.write( "\n" ); document.write( "radius: $\"sqrt%2861%2F4%29=3.9\"$ \r
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