document.write( "Question 1207780: work out the solutions to these simultaneous equations:
\n" ); document.write( "y = 2x
\n" ); document.write( "y = x^2 - 8 \n" ); document.write( "

Algebra.Com's Answer #845857 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "work out the solutions to these simultaneous equations:
\n" ); document.write( "y = 2x
\n" ); document.write( "y = x^2 - 8
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document.write( "Left sides are identical - hence, right sides are equal\r\n" );
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document.write( "    2x = x^2 - 8,\r\n" );
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document.write( "or\r\n" );
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document.write( "    x^2 - 2x - 8 = 0,\r\n" );
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document.write( "Factor left side\r\n" );
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document.write( "    (x-4)(x+2) = 0.\r\n" );
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document.write( "One solution is  x = 4;  y = 2x = 8.       CHECK:  x^2-8 = 4^2-8 = 8.       <<<---=== correct .\r\n" );
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document.write( "Another solution is x = -2;  y = 2x = -4.  CHECK:  x^2-8 = (-2)^2-8 = -4.   <<<---=== correct .\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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