document.write( "Question 53432: i hope that you can help me solve this one. thanks.
\n" ); document.write( "find all real solutions of the equation.
\n" ); document.write( "3squareroot3x+1endsqroot -5=0
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Algebra.Com's Answer #36418 by funmath(2933)\"\" \"About 
You can put this solution on YOUR website!
1. Isolate the Radical.
\n" ); document.write( "2. Square both sides of the equation. Remember\"%28sqrt%28x%29%29%5E2=x\"
\n" ); document.write( "3. Solve for x.
\n" ); document.write( "4. Cehck you answer for extraneous solutions (false solutions) because this is a problem involving radicals you can do everything right and get a solution that does not make both sides equal.
\n" ); document.write( "\"3%2Asqrt%283x%2B1%29-5=0\"
\n" ); document.write( "\"3%2Asqrt%283x%2B1%29-5%2B5=0%2B5\"
\n" ); document.write( "\"3%2Asqrt%283x%2B1%29=5\"
\n" ); document.write( "\"3%2Asqrt%283x%2B1%29%2F3=5%2F3\"
\n" ); document.write( "\"sqrt%283x%2B1%29=5%2F3\"
\n" ); document.write( "\"%28sqrt%283x%2B1%29%29%5E2=%285%2F3%29%5E2\"
\n" ); document.write( "\"3x%2B1=25%2F9\" Clear your fraction to make life easier.
\n" ); document.write( "\"9%283x%2B1%29=9%2825%2F9%29\"
\n" ); document.write( "\"27x%2B9=25\"
\n" ); document.write( "\"27x%2B9-9=25-9\"
\n" ); document.write( "\"27x=16\"
\n" ); document.write( "\"27x%2F27=16%2F27\"
\n" ); document.write( "\"x=16%2F27\"
\n" ); document.write( "Check for extraneous solutions:
\n" ); document.write( "\"3%2Asqrt%283%2816%2F27%29%2B1%29-5=0\"
\n" ); document.write( "\"3%2Asqrt%2816%2F9%2B1%29-5=0\"You need a common denominator when adding a fraction.
\n" ); document.write( "\"3%2Asqrt%2816%2F9%2B9%2F9%29-5=0\"
\n" ); document.write( "\"3%2Asqrt%2825%2F9%29-5=0\"
\n" ); document.write( "\"3%285%2F3%29-5=0\"
\n" ); document.write( "\"5-5=0\"
\n" ); document.write( "\"0=0\"
\n" ); document.write( "The solution checks, so we know for sure that our solution is:
\n" ); document.write( "\"highlight%28x=16%2F27%29\"
\n" ); document.write( "Happy Calculating!!!
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