document.write( "Question 1086048: If the two roots of the quadratic 7x^2+3x+k$ are (-3ħisqrt(299))/14, what is k? \n" ); document.write( "
Algebra.Com's Answer #700163 by ikleyn(52790)\"\" \"About 
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document.write( "\"k%2F7\" is the product of the roots (Vieta's theorem):\r\n" );
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document.write( "\"k%2F7\" = \"%28%28-3%2Bi%2Asqrt%28299%29%29%2F14%29%2A%28%28-3-i%2Asqrt%28299%29%29%2F14%29\" = \"%283%5E2%2B299%29%2F14%5E2\" = \"308%2F14%5E2\".\r\n" );
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document.write( "Hence, k = \"%28308%2A7%29%2F14%5E2\" = 11.\r\n" );
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document.write( "Thanks to @MathTherapy for pointing my typo in my previous version.\r\n" );
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