document.write( "Question 179343: Can you please help me solve this radical equaqtion? $\"sqrt%28x-1%29%2Bx=3\"$
\n" ); document.write( "This problem did not come from a text book, it came from a worksheet.\r
\n" ); document.write( "\n" ); document.write( "I began by isolating the radical: $\"sqrt%28x-1%29=-x%2B3\"$
\n" ); document.write( "Then I squared each side to eliminate the radical: $\"sqrt%28x-1%29%5E2=%28-x%2B3%29%5E2\"$
\n" ); document.write( "Which gave me: $\"+x-1=-x%5E2%2B9+\"$
\n" ); document.write( "Then I moved everything to one side to give me a quadradtic equation:
\n" ); document.write( " $\"x%5E2%2Bx-10=0\"$
\n" ); document.write( "This is where I got stuck, I don't see how this can be factored, so I tried using the quadratic equation and just got confused from there. Can you help me please??!!??? \n" ); document.write( "

Algebra.Com's Answer #134251 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!
Can you please help me solve this radical equaqtion? $\"sqrt%28x-1%29%2Bx=3\"$
\n" ); document.write( "This problem did not come from a text book, it came from a worksheet.\r
\n" ); document.write( "\n" ); document.write( "I began by isolating the radical: $\"sqrt%28x-1%29=-x%2B3\"$
\n" ); document.write( "Then I squared each side to eliminate the radical: $\"sqrt%28x-1%29%5E2=%28-x%2B3%29%5E2\"$
\n" ); document.write( "Which gave me: $\"+x-1=-x%5E2%2B9+\"$
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document.write( "There's your error!\r\n" );
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document.write( " IS NOT !\r\n" );
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document.write( "When there are two terms added to be squared, you must\r\n" );
document.write( "write it in parentheses TWICE and multiply it by itself, \r\n" );
document.write( "using FOIL. Also you must remember that when you square \r\n" );
document.write( "a negative, such as  you get a positive ,\r\n" );
document.write( "not :\r\n" );
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document.write( "Therefore when you got to\r\n" );
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document.write( "the next step should have been\r\n" );
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document.write( "Then you must use \"FOIL\":\r\n" );
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document.write( "You don't need to write that . I just\r\n" );
document.write( "put it there to remind you that when you square\r\n" );
document.write( "a negative you get a positive.\r\n" );
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document.write( "Then move everything right and you get:\r\n" );
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document.write( "or if you like the 0 on the right, just swap sides:\r\n" );
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document.write( "Then it factors nicely as\r\n" );
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document.write( "Then you get the solutions  and \r\n" );
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document.write( "But you must check these, because when you square\r\n" );
document.write( "both sides or multiply both sides by a variable,\r\n" );
document.write( "you may get extraneous solutions:\r\n" );
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document.write( "Checking \r\n" );
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document.write( "That doesn't check, so  is not a \r\n" );
document.write( "genuine solution, but is called \"extraneous\".\r\n" );
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document.write( "Checking \r\n" );
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document.write( "That checks. So  is the only solution\r\n" );
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document.write( "Edwin
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