document.write( "Question 1086466: If the quadratic equation x2+4x+k=0,has real and discint roots,find the value of k. \n" ); document.write( "

Algebra.Com's Answer #700677 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "If the quadratic equation x2+4x+k=0 has real and $\"highlight%28cross%28discint%29%29\"$ distinct roots, find the value of k.
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document.write( "the quadratic equation x2+4x+k=0 has real and distinct roots  <====>  the discriminant of the equation is positive:\r\n" );
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document.write( " > 0  <=====>\r\n" );
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document.write( "16 - 4k > 0  <=====>  16 > 4k  <=====>  k < 4.\r\n" );
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document.write( "Answer.  k < 4.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Plot y = $\"x%5E2+%2B+4x+%2B+3\"$ (red), y = $\"x%5E2+%2B+4x+%2B+4\"$ (green), y = $\"x%5E2+%2B+4x+%2B5\"$ (blue)\r
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\n" ); document.write( "\n" ); document.write( "On quadratic equations and their discriminants 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( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this textbook under the topic \"Quadratic equations\". \r
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