document.write( "Question 1008367: for what value of k does circle (x+2k)^2+(y-3k)^2=10 passes through point (1,0) \n" ); document.write( "
Algebra.Com's Answer #624095 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "for what value of k does circle \"%28x%2B2k%29%5E2%2B%28y-3k%29%5E2=10\" passes through point (\"1\",\"0\") \r
\n" ); document.write( "\n" ); document.write( "substitute \"1\" for \"x\" and \"0\" for \"y\"\r
\n" ); document.write( "\n" ); document.write( " \"%281%2B2k%29%5E2%2B%280-3k%29%5E2=10\"\r
\n" ); document.write( "\n" ); document.write( " \"1%2B4k%2B4k%5E2%2B9k%5E2=10\"\r
\n" ); document.write( "\n" ); document.write( "\"13k%5E2%2B4k%2B1-10=0\"\r
\n" ); document.write( "\n" ); document.write( "\"13k%5E2%2B4k-9=0\"\r
\n" ); document.write( "\n" ); document.write( "\"13k%5E2%2B13k-9k-9=0\"\r
\n" ); document.write( "\n" ); document.write( "\"%2813k%5E2%2B13k%29-%289k%2B9%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"13k%28k%2B1%29-9%28k%2B1%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"%2813k-9%29%28k%2B1%29=0\"\r
\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( "\"13k-9=0\" => \"13k=9\" => \"k=9%2F13\"
\n" ); document.write( "\"k%2B1=0\" => \"k=-1\"\r
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