document.write( "Question 57288: the square root of (b+3)= the square root of (2b-8) \n" ); document.write( "

Algebra.Com's Answer #38999 by funmath(2933) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"sqrt%28b%2B3%29=sqrt%282b-8%29\"$ Square both sides.
\n" ); document.write( " $\"%28sqrt%28b%2B3%29%29%5E2=%28sqrt%282b-8%29%29%5E2\"$
\n" ); document.write( " $\"b%2B3=2b-8\"$
\n" ); document.write( " $\"-b%2Bb%2B3=-b%2B2b-8\"$
\n" ); document.write( " $\"3=b-8\"$
\n" ); document.write( " $\"8%2B3=b-8%2B8\"$
\n" ); document.write( " $\"11=b\"$
\n" ); document.write( ":
\n" ); document.write( "Check by substituting b=11 into the original equation, because even if you did everything right, you could get an extraneous solution.
\n" ); document.write( " $\"sqrt%2811%2B3%29=sqrt%282%2811%29-8%29\"$
\n" ); document.write( " $\"sqrt%2814%29=sqrt%2822-8%29\"$
\n" ); document.write( " $\"sqrt%2814%29=sqrt%2814%29\"$ The solution is fine.
\n" ); document.write( "Happy Calculating!!! \n" ); document.write( "

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