document.write( "Question 1132441: Determine the Nature of the Roots.
\n" ); document.write( "t^2 + 8t - 20 = 0 \n" ); document.write( "

Algebra.Com's Answer #749466 by ikleyn(52799) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "When you have this question \"Determine the Nature of the Roots\", solve the problem as follows:\r\n" );
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document.write( "    - Calculate the discriminant of the equation  d = b^2 - 4ac\r\n" );
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document.write( "        (here I refer to the general form of the quadratic equation ax^2 + bx + c = 0,\r\n" );
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document.write( "         so in your case a= 1, b= 8, c -20  and  d=  = 64 + 80 = 144.)\r\n" );
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document.write( "     - The discriminant is positive - so, the equation has two distinct real roots.     ANSWER\r\n" );
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document.write( "At this point, the question is answered and the solution is completed.\r\n" );
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document.write( "But you can make one step further to earn an additional score:\r\n" );
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document.write( "    you can easily FIND the roots   =  =  =  = ,\r\n" );
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document.write( "    so, the roots are   = -4 + 6 = 2   and    = -4 - 6 = -10.\r\n" );
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\n" ); document.write( "\n" ); document.write( "On solving quadratic equations, 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
\n" ); document.write( "\n" ); document.write( "    - HOW TO complete the square - Learning by examples \r
\n" ); document.write( "\n" ); document.write( "    - HOW TO solve quadratic equation by completing the square - Learning by examples \r
\n" ); document.write( "\n" ); document.write( "    - Solving quadratic equations without quadratic formula\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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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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