document.write( "Question 204177: How do you solve this radical the square root of 2x+5+5=x?\r
\n" ); document.write( "\n" ); document.write( "What I have tried: you isolate the radical to (2x+5)^2 =( x+5)^2
\n" ); document.write( "Then I got 5x+25=50 simplify to 5x+50/5 which gave me a final answer of x=5. Am I on the right track? \n" ); document.write( "

Algebra.Com's Answer #154141 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!
How do you solve this radical the $\"sqrt%282x%2B5%29%2B5=x\"$ ?
\n" ); document.write( "What I have tried: you isolate the radical to (2x+5)^2 =( x+5)^2
\n" ); document.write( "Then I got 5x+25=50 simplify to 5x+50/5 which gave me a final answer of x=5. Am I on the right track?
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document.write( "No. Your first error was a sign error. You got x+5 on the right \r\n" );
document.write( "and it should have been x-5.\r\n" );
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document.write( "Your second error was in 'squaring a square root'.  When\r\n" );
document.write( "you square  you get just what is under the\r\n" );
document.write( "radical , not . You don't square what's\r\n" );
document.write( "under the radical! The squaring takes away BOTH the radical AND \r\n" );
document.write( "the square, and you get just what's under the radical in the\r\n" );
document.write( "fourth step.\r\n" );
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document.write( "But we must check both solutions in the \r\n" );
document.write( "original equations:\r\n" );
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document.write( "checking \r\n" );
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document.write( "That checks, so  is a solution:\r\n" );
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document.write( "checking \r\n" );
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document.write( "That doesn't check, so the only solution\r\n" );
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document.write( "Edwin

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