document.write( "Question 176651This question is from textbook Elementary and Intermediate Algebra
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Algebra.Com's Answer #131720 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
I cannot solve the following, please help and show step by step if possible, thank you\r
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document.write( "Since the radical is already isolated on the left,\r\n" );
document.write( "square both sides.\r\n" );
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document.write( "\"matrix%281%2C3%2C%28sqrt%287x%2B29%29%29%5E2%2C+%22=%22%2C+%28x%2B3%29%5E2%29\"\r\n" );
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document.write( "\"matrix%281%2C3%2Csqrt%287x%2B29%29sqrt%287x%2B29%29%2C+%22=%22%2C+%28x%2B3%29%28x%2B3%29%29\"\r\n" );
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document.write( "\"matrix%281%2C3%2C7x%2B29%2C+%22=%22%2C+x%5E2%2B3x%2B3x%2B9%29\"\r\n" );
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document.write( "\"matrix%281%2C3%2C7x%2B29%2C+%22=%22%2C+x%5E2%2B6x%2B9%29\"\r\n" );
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document.write( "Get 0 on the left by subtracting \"7x%2B29\" from\r\n" );
document.write( "both sides:\r\n" );
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document.write( "\"+matrix%281%2C3%2C0%2C+%22=%22%2C+x%5E2-x-20%29\"\r\n" );
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document.write( "or\r\n" );
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document.write( "\"matrix%281%2C3%2Cx%5E2-x-20%2C+%22=%22%2C0%29\"\r\n" );
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document.write( "Factor left side:\r\n" );
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document.write( "\"matrix%281%2C3%2C%28x-5%29%28x%2B4%29%2C+%22=%22%2C0%29\"\r\n" );
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document.write( "Use the principle of zero factors:\r\n" );
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document.write( "  \r\n" );
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document.write( "But we have to check each of those,\r\n" );
document.write( "because squaring both sides, or multiplying\r\n" );
document.write( "both sides by a variable, may result in\r\n" );
document.write( "bogus solutiona, called \"extraneous\"\r\n" );
document.write( "solutions.\r\n" );
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document.write( "Checking \"x=5\"\r\n" );
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document.write( "\"matrix%281%2C3%2Csqrt%287x%2B29%29%2C+%22=%22%2C+x%2B3%29\"\r\n" );
document.write( "\"matrix%281%2C3%2Csqrt%287%285%29%2B29%29%2C+%22=%22%2C+%285%29%2B3%29\"\r\n" );
document.write( "\"matrix%281%2C3%2Csqrt%2835%2B29%29%2C+%22=%22%2C+5%2B3%29\"\r\n" );
document.write( "\"matrix%281%2C3%2Csqrt%2864%29%2C+%22=%22%2C+8%29\"\r\n" );
document.write( "\"matrix%281%2C3%2C8%2C+%22=%22%2C+8%29\"\r\n" );
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document.write( "That checks, so \"x=5\" is a solution.\r\n" );
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document.write( "Checking \"x=-4\"\r\n" );
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document.write( "\"matrix%281%2C3%2Csqrt%287x%2B29%29%2C+%22=%22%2C+x%2B3%29\"\r\n" );
document.write( "\"matrix%281%2C3%2Csqrt%287%28-4%29%2B29%29%2C+%22=%22%2C+%28-4%29%2B3%29\"\r\n" );
document.write( "\"matrix%281%2C3%2Csqrt%28-28%2B29%29%2C+%22=%22%2C+-4%2B3%29\"\r\n" );
document.write( "\"matrix%281%2C3%2Csqrt%281%29%2C+%22=%22%2C+-1%29\"\r\n" );
document.write( "\"matrix%281%2C3%2C1%2C+%22=%22%2C+-1%29\"\r\n" );
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document.write( "That does not check, so \"x=4\" is not \r\n" );
document.write( "a solution, and is called \"extraneous\".\r\n" );
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document.write( "The only genuine solution is \"x=5\"\r\n" );
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document.write( "Edwin
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