document.write( "Question 122489: Find all real or imaginary solutions to the eqyation.
\n" ); document.write( "sqrt[7x+29]=x+3
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Algebra.Com's Answer #89917 by MathLover1(20849)\"\" \"About 
You can put this solution on YOUR website!
\"sqrt%287x%2B29%29+=x%2B3\"...rise boyh sides to the 2 power\r
\n" ); document.write( "\n" ); document.write( "\"%28sqrt%287x%2B29%29%29%5E2=+%28x%2B3%29%5E2\"...\r
\n" ); document.write( "\n" ); document.write( "\"7x%2B29=+%28x%2B3%29%5E2\"...\r
\n" ); document.write( "\n" ); document.write( "\"7x%2B29=+x%5E2+%2B+6x+%2B+9\"...\r
\n" ); document.write( "\n" ); document.write( "\"0+=+x%5E2+%2B+6x+-7x+-+29+%2B+9\"...\r
\n" ); document.write( "\n" ); document.write( "\"+x%5E2+-+x+-+20+=+0\"......use quadratis formula\r
\n" ); document.write( "\n" ); document.write( "\"x%5B1%2C2%5D+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\" \r
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\n" ); document.write( "\n" ); document.write( "\"x%5B1%2C2%5D+=+%281+%2B-+sqrt%28+1+%2B+80+%29%29%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5B1%2C2%5D+=+%281+%2B-+sqrt%28++81+%29%29%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5B1%2C2%5D+=+%281+%2B-+%28++9%29%29%2F2+\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%5B1%5D+=+%281+%2B+%28++9%29%29%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5B1%5D+=+10%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5B1%5D+=+5\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%5B2%5D+=+%281+-+%28++9%29%29%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5B2%5D+=++-%288%29%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5B2%5D+=+-+4\"\r
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\n" ); document.write( "\n" ); document.write( "check:\r
\n" ); document.write( "\n" ); document.write( "\"sqrt%287x+%2B+29%29+=x%2B3\"...plug in \"x%5B1%5D+=+5\"\r
\n" ); document.write( "\n" ); document.write( "\"sqrt%287%285%29%2B29%29+=+5%2B3\"...\r
\n" ); document.write( "\n" ); document.write( "\"sqrt%2835+%2B+29%29+=+8\"...\r
\n" ); document.write( "\n" ); document.write( "\"sqrt%2864%29+=+8\"...\r
\n" ); document.write( "\n" ); document.write( "\"8+=+8\"...
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\n" ); document.write( "\n" ); document.write( "\"sqrt%287x+%2B+29%29+=x%2B3\"...plug in \"x%5B1%5D+=+-4\"\r
\n" ); document.write( "\n" ); document.write( "\"sqrt%287%28-4%29%2B29%29+=+-4%2B3\"...\r
\n" ); document.write( "\n" ); document.write( "\"sqrt%28-28+%2B+29%29+=+-1\"...\r
\n" ); document.write( "\n" ); document.write( "\"sqrt%281%29+=+-1\"................since \"sqrt%281%29=%28%2B1_or_-1%29\", we can write\r
\n" ); document.write( "\n" ); document.write( "\"-1=+-1\"...\r
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