document.write( "Question 687588: Why is it necessary to check the possible solutions when the principle of powers is used to solve an equation? \n" ); document.write( "
Algebra.Com's Answer #425247 by Edwin McCravy(20056)\"\" \"About 
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document.write( "In order to remove radicals in an equation, we use the principle of powers\r\n" );
document.write( "and raise both sides to a power which is the same as the index of the\r\n" );
document.write( "radical. \r\n" );
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document.write( "If that power is even, we might end up with solutions that do not work since\r\n" );
document.write( "raising each side to an even will make the signs of each side positive, which\r\n" );
document.write( "may not be true of the original equation  Often a positive expression\r\n" );
document.write( "on one side of an equation will equal to a negative expression on the other\r\n" );
document.write( "side.\r\n" );
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document.write( "However, if that power is odd, we do not need to check,  since raising each\r\n" );
document.write( "side to an odd will not change the signs of the sides.   \r\n" );
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document.write( "Therefore the problem should be stated:\r\n" );
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document.write( "It is necessary to check the possible solutions when the principle of powers \r\n" );
document.write( "is used to solve an equation ONLY when the power is EVEN.\r\n" );
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document.write( "Edwin

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