document.write( "Question 697655: how would you solve the following equations? Show different ways to solve each.
\n" ); document.write( "1. $\"root%283%2Cx-5%29\"$ $\"%22%22=%22%22\"$ $\"sqrt%283%29\"$
\n" ); document.write( "2. $\"3%2Fsqrt%28x-3%29\"$ $\"%22%22=%22%22\"$ $\"4%2Fsqrt%282x%2B3%29\"$
\n" ); document.write( "3. $\"root%284%2C2x-5%29\"$ $\"%22%22=%22%22\"$ $\"sqrt%28x%2B1%29\"$ \n" ); document.write( "

Algebra.Com's Answer #430195 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "Cube both sides:\r\n" );
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document.write( "   \r\n" );
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document.write( "There is no need to check that because we raised variables\r\n" );
document.write( "only to an ODD power.  It is only when you raise variables\r\n" );
document.write( "to an even power that you might get extraneous solutions.\r\n" );
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document.write( "2.  \r\n" );
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document.write( "Cross-multiply\r\n" );
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document.write( "Square both sides:\r\n" );
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document.write( "   \r\n" );
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document.write( "We must check this because we raised variables to an\r\n" );
document.write( "EVEN power, and this may be an extraneous solution.\r\n" );
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document.write( "We need go no further because there can be no real\r\n" );
document.write( "solution if there is a negative number under an EVEN\r\n" );
document.write( "root, such as a square root, 4th root, 6th root, etc.\r\n" );
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document.write( "This equation has no real solution.\r\n" );
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document.write( "3. \r\n" );
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document.write( "Raise both sides to the 4th power:\r\n" );
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document.write( "This can have no real solution.\r\n" );
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document.write( "Edwin

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