document.write( "Question 135510: Solve \"sqrt%283x%2B4%29-sqrt%282x%2B1%29=1\" \n" ); document.write( "
Algebra.Com's Answer #99291 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"sqrt%283x%2B4%29-sqrt%282x%2B1%29=1\" Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%283x%2B4%29=1%2Bsqrt%282x%2B1%29\" Add \"sqrt%282x%2B1%29\" to both sides\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%283x%2B4%29=1%2Bsqrt%282x%2B1%29\" Add \"sqrt%282x%2B1%29\" to both sides\r
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\n" ); document.write( "\n" ); document.write( "\"3x%2B4=%281%2Bsqrt%282x%2B1%29%29%5E2\" Square both sides\r
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\n" ); document.write( "\n" ); document.write( "\"3x%2B4=1%2B2%2Asqrt%282x%2B1%29%2B2x%2B1\" Foil the right side\r
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\n" ); document.write( "\n" ); document.write( "\"3x%2B4=2%2Asqrt%282x%2B1%29%2B2x%2B2\" Combine like terms\r
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\n" ); document.write( "\n" ); document.write( "\"3x%2B4-2x-2=2%2Asqrt%282x%2B1%29\" Subtract 2x from both sides. Subtract 2 from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"x%2B2=2%2Asqrt%282x%2B1%29\" Combine like terms \r
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\n" ); document.write( "\n" ); document.write( "\"%28x%2B2%29%5E2=4%2A%282x%2B1%29\" Square both sides\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B4x%2B4=4%2A%282x%2B1%29\" Foil the left side\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B4x%2B4=8x%2B4\" Distribute\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B4x%2B4-8x-4=0\" Subtract 8x from both sides. Subtract 4 from both sides. \r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2-4x=0\" Combine like terms\r
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\n" ); document.write( "\n" ); document.write( "\"x%28x-4%29=0\" Factor the left side \r
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\n" ); document.write( "\n" ); document.write( "Now set each factor equal to zero:\r
\n" ); document.write( "\n" ); document.write( "\"x=0\" or \"x-4=0\" \r
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\n" ); document.write( "\n" ); document.write( "\"x=0\" or \"x=4\" Now solve for x in each case\r
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\n" ); document.write( "\n" ); document.write( "So our answers are\r
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\n" ); document.write( "\n" ); document.write( " \"x=0\" or \"x=4\" \r
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