document.write( "Question 1185300: Solve each equation and to check for extraneous solutions\r
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Algebra.Com's Answer #816098 by Edwin McCravy(20055) $\"\"$ $\"About$

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document.write( "We square both sides:\r\n" );
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document.write( "When we square a square root we take away the square and the square root:\r\n" );
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document.write( "Subtract x² from both sides:\r\n" );
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document.write( "Use the zero factor principle. Set each factor equal to 0:\r\n" );
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document.write( "x+3 = 0;   x+2 = 0\r\n" );
document.write( "  x = -3;    x = -2\r\n" );
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document.write( "We substitute those in the original equation to see if both are\r\n" );
document.write( "solutions to the original equations, or extraneous:\r\n" );
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document.write( "Substituting x = -3\r\n" );
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document.write( "That's false.  So -3 is an extraneous solution, so we discard it.\r\n" );
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document.write( "Substituting -2\r\n" );
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document.write( "That's false.  So -2 is also an extraneous solution, so we discard it.\r\n" );
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document.write( "The equation has no solution.\r\n" );
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document.write( "Note: The symbol \"√(\" always means the POSITIVE square root. To indicate\r\n" );
document.write( "the negative square root, there must be a negative sign before it \"-√(\".\r\n" );
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document.write( "Edwin

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