document.write( "Question 1177949: Determine the exact value(s) of k such that (k+2)x^2 −6 = kx −1 has one solution.\r
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Algebra.Com's Answer #807109 by MathLover1(20850)\"\" \"About 
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Determine the exact value(s) of\"+k\" such that\"+%28k%2B2%29x%5E2+-6+=+kx+-1\" has one solution.\r
\n" ); document.write( "\n" ); document.write( "\"%28k%2B2%29x%5E2+-6+-+kx+%2B1=0\"\r
\n" ); document.write( "\n" ); document.write( "\"%28k%2B2%29x%5E2-+kx++-5+=0\"\r
\n" ); document.write( "\n" ); document.write( "=> \"a=%28k%2B2%29\", \"b=-k\",\"+c=-5\"\r
\n" ); document.write( "\n" ); document.write( "use discriminant: \r
\n" ); document.write( "\n" ); document.write( "If discriminant,\"+b%5E2+-+4ac+%3E+0\", two solutions exist.
\n" ); document.write( "If discriminant, \"b%5E2+-+4ac+=+0\", one solution exists.
\n" ); document.write( "If discriminant, \"b%5E2+-+4ac+%3C+0\", no solution exists\r
\n" ); document.write( "\n" ); document.write( "so, you need:\r
\n" ); document.write( "\n" ); document.write( "\"b%5E2-4ac=0+\"....substitute \"a\",\"b\", and \"c\"\r
\n" ); document.write( "\n" ); document.write( "\"%28-k%29%5E2-4%28k%2B2%29%28-5%29=0+\"\r
\n" ); document.write( "\n" ); document.write( "\"k%5E2%2B20k%2B40=0\" .........using quadratic formula, we get\r
\n" ); document.write( "\n" ); document.write( "\"k+=+2+%28sqrt%2815%29+-+5%29\"\r
\n" ); document.write( "\n" ); document.write( "\"k+=+-2+%285+%2B+sqrt%2815%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"+%282%28sqrt%2815%29+-+5%29%2B2%29x%5E2+-6+=+2+%28sqrt%2815%29+-+5%29x+-1\"\r
\n" ); document.write( "\n" ); document.write( "\"%282sqrt%2815%29+-+8%29x%5E2+-+6=2+%28sqrt%2815%29+-+5%29x+-1\" -> has one solution\r
\n" ); document.write( "\n" ); document.write( "or
\n" ); document.write( "\"+%28-2%28sqrt%2815%29+%2B5%29%2B2%29x%5E2+-6+=-2%28sqrt%2815%29+%2B+5%29x+-1\"
\n" ); document.write( "\"-%282sqrt%2815%29%2B8%29x%5E2+-+6=-2%28sqrt%2815%29+%2B+5%29x+-1\"-> has one solution\r
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