document.write( "Question 170220: square root sign 9x+67=x+5 (solve)
\n" ); document.write( "Rewrite with a rational exponent small 6 square root sign 19.
\n" ); document.write( "Convert to decimal notation 8.87*10^7. I had 8870000000. (I know this is incorrect)
\n" ); document.write( "Use rational exponents to write xy small 5*y small 1|6 (1&6 are small numbers)*2 small 1|3 (1&3 are small numbers)\r
\n" ); document.write( "\n" ); document.write( "I thank you in advance, for all your help.
\n" ); document.write( "I am a student and I am in need of help. \n" ); document.write( "
Algebra.Com's Answer #125667 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
Stanbon's solution is
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document.write( "\"sqrt%289x%2B67%29=x%2B5\" (solve)\r\n" );
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document.write( "Square both sides:\r\n" );
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document.write( "\"%28sqrt%289x%2B67%29%29%5E2=%28x%2B5%29%5E2\"\r\n" );
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document.write( "\"9x%2B67=%28x%2B5%29%28x%2B5%29\"\r\n" );
document.write( "\"9x%2B67=x%5E2%2B10x%2B25\"\r\n" );
document.write( "Get 0 on the left:\r\n" );
document.write( "\"0=x%5E2%2Bx-42\"\r\n" );
document.write( "Switch sides:\r\n" );
document.write( "\"x%5E2%2Bx-42=0\"\r\n" );
document.write( "Factor\r\n" );
document.write( "\"%28x-6%29%28x%2B7%29=0\"\r\n" );
document.write( "Use the zero-factor principle:\r\n" );
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document.write( "Stanbon quit here, but you MUST check\r\n" );
document.write( "radical equations for extraneous solutions:\r\n" );
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document.write( "Checking \"x=6\"\r\n" );
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document.write( "\"sqrt%289x%2B67%29=x%2B5\"\r\n" );
document.write( "\"sqrt%289%286%29%2B67%29=%286%29%2B5\"\r\n" );
document.write( "\"sqrt%2854%2B67%29=6%2B5\"\r\n" );
document.write( "\"sqrt%28121%29=11\"\r\n" );
document.write( "\"11=11\"\r\n" );
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document.write( "That checks.\r\n" );
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document.write( "Checking \"x=-7\"\r\n" );
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document.write( "\"sqrt%289x%2B67%29=x%2B5\"\r\n" );
document.write( "\"sqrt%289%28-7%29%2B67%29=%28-7%29%2B5\"\r\n" );
document.write( "\"sqrt%28-63%2B67%29=-7%2B5\"\r\n" );
document.write( "\"sqrt%284%29=-2\"\r\n" );
document.write( "\"2=-2\"\r\n" );
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document.write( "This does not check so we\r\n" );
document.write( "must discard \"x=-7\" as\r\n" );
document.write( "an extraneous solution. The\r\n" );
document.write( "only solution is \"x=6\".\r\n" );
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\n" ); document.write( "Rewrite with a rational exponent \"root%286%2C19%29\".
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document.write( "Use the rule \"root%28N%2CX%5EM%29=X%5E%28M%2FN%29\"\r\n" );
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document.write( "\"root%286%2C19%29=6%5E%281%2F19%29\".\r\n" );
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\n" ); document.write( "Convert to decimal notation \"matrix%281%2C3%2C8.87%2C%22%D7%22%2C10%5E7%29\". I had \"8870000000\". (I know this is incorrect)
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document.write( "Yes, you don't put on 7 zeros. You put on just enough\r\n" );
document.write( "zeros so that you can move the decimal 7 places right.\r\n" );
document.write( "You are to move the decimal of \"8.87\" 7 places right.\r\n" );
document.write( "There are only 2 decimal places showing so you will\r\n" );
document.write( "need to put on 5 zeros so there will be 7 places. So you\r\n" );
document.write( "consides \"8.87\" as \"8.8700000\" and then when you\r\n" );
document.write( "move the decimal 7 places to the right, it will go at the\r\n" );
document.write( "end and be invisible:\r\n" );
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document.write( "So  \r\n" );
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document.write( "Use rational exponents to write xy small 5*y small 1|6 (1&6 are small numbers)*2 small 1|3 (1&3 are small numbers)\r\n" );
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document.write( "I think you meant this:\r\n" );
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document.write( "\"xy%5E5%2Ay%5E%281%2F6%29%2A2%5E%281%2F3%29\"\r\n" );
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document.write( "Write the \"1%2F3\" as \"2%2F6\"\r\n" );
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document.write( "\"xy%5E5%2Ay%5E%281%2F6%29%2A2%5E%282%2F6%29\"\r\n" );
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document.write( "Write \"y%5E%281%2F6%29\" as \"root%286%2Cy%29\"\r\n" );
document.write( "Write \"2%5E%282%2F6%29\" as \"root%286%2C2%5E2%29\"\r\n" );
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document.write( "\"xy%5E5%2Aroot%286%2Cy%29%2Aroot%286%2C2%5E2%29\"\r\n" );
document.write( "\"xy%5E5%2Aroot%286%2Cy%29%2Aroot%286%2C4%29\"\r\n" );
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document.write( "Then multiply under the radicals:\r\n" );
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document.write( "\"xy%5E5%2Aroot%286%2C4y%29\"\r\n" );
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document.write( "Edwin
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