document.write( "Question 1129199: Solve the system of equations:
\n" ); document.write( "Y=2x^2+3
\n" ); document.write( "Y=x+2
\n" ); document.write( "Enter one point as (x,y)
\n" ); document.write( "Enter two points as (x,y),(x,y)
\n" ); document.write( "Enter\"no solution\" as DNE. \n" ); document.write( "

Algebra.Com's Answer #745759 by ikleyn(52794) $\"\"$ $\"About$

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document.write( "y = 2x^2 + 3\r\n" );
document.write( "y = x + 2\r\n" );
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document.write( "Left sides are identical - hence, right sides are equal:\r\n" );
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document.write( "2x^2 + 3 = x + 2  ====>\r\n" );
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document.write( "2x^2 -x + 1 = 0.\r\n" );
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document.write( "The discriminant = b^2 - 4ac = (-1)^2 - 4*2*1 = 1 - 8 = -7  ====>\r\n" );
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document.write( "There is no real solution. \r\n" );
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document.write( " =  = .\r\n" );
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document.write( "Answer.  This system HAS NO real solution/solutions.\r\n" );
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document.write( "         It has two distinct solution in complex numbers  (x,y) = (,}  and  (x,y) = (,).\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved and explained.\r
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\n" ); document.write( "\n" ); document.write( "You can simplify these complex number solutions, if you need (if you need to have them, at all).\r
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