document.write( "Question 191751: square root of 2x+11=x+4 Isolate a radical on one side, square both sides, solve the resulting equation \n" ); document.write( "
Algebra.Com's Answer #143875 by jim_thompson5910(35256)\"\" \"About 
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\"sqrt%282x%2B11%29=x%2B4\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"2x%2B11=%28x%2B4%29%5E2\" Square both sides\r
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\n" ); document.write( "\n" ); document.write( "\"2x%2B11=x%5E2%2B8x%2B16\" FOIL\r
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\n" ); document.write( "\n" ); document.write( "\"0=x%5E2%2B8x%2B16-2x-11\" Get everything to the right side\r
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\n" ); document.write( "\n" ); document.write( "\"0=x%5E2%2B6x%2B5\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "\"0=%28x%2B5%29%28x%2B1%29\" Factor\r
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\n" ); document.write( "\n" ); document.write( "\"x%2B5=0\" or \"x%2B1=0\" Set each factor equal to zero\r
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\n" ); document.write( "\n" ); document.write( "\"x=-5\" or \"x=-1\" Solve\r
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\n" ); document.write( "\n" ); document.write( "So the possible solutions are \"x=-5\" or \"x=-1\"\r
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\n" ); document.write( "\n" ); document.write( "However, if you plug in \"x=-5\", you'll find that it is NOT a solution\r
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\n" ); document.write( "\n" ); document.write( "So the only solution is \"x=-1\"
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