document.write( "Question 1208922: If 6k^2 + k = 2 and k > 0, find the value of k. \n" ); document.write( "
Algebra.Com's Answer #847452 by ikleyn(52781)\"\" \"About 
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document.write( "Write this equation in the standard quadratic form\r\n" );
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document.write( "    6k^2 + k - 2 = 0.\r\n" );
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document.write( "To find k, apply the quadratic formula\r\n" );
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document.write( "    \"k%5B1%2C2%5D\" = \"%28-1+%2B-+sqrt%28%28-1%29%5E2+-+4%2A6%2A%28-2%29%29%29%2F%282%2A6%29\" = \"%28-1+%2B-+sqrt%2849%29%29%2F12\" = \"%28-1+%2B-+7%29%2F12\".\r\n" );
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document.write( "They want k  be positive - so take this unique positive root  k = \"%28-1%2B7%29%2F12\" = \"6%2F12\" = \"1%2F2\".\r\n" );
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document.write( "At this point, the solution is complete.\r\n" );
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document.write( "ANSWER.  k = \"1%2F2\".\r\n" );
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\n" ); document.write( "\n" ); document.write( "On solving quadratic equations using the quadratic formula,  see the lessons \r
\n" ); document.write( "\n" ); document.write( "    - Introduction into Quadratic Equations\r
\n" ); document.write( "\n" ); document.write( "    - PROOF of quadratic formula by completing the square\r
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\n" ); document.write( "\n" ); document.write( "If factoring requires mental efforts from you more than 5 - 7 - 10 seconds
\n" ); document.write( "and is not requested in the assignment, use the quadratic formula.\r
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\n" ); document.write( "\n" ); document.write( "It is the general rule to save your mind from unnecessary exercises for real work.\r
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