document.write( "Question 75644: 2Square roor7x+4-1=7 find solutions of equation. check for extraneous solutions \n" ); document.write( "

Algebra.Com's Answer #54345 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"sqrt%287x%29%2B4-1=7\"$ Start with the given problem
\n" ); document.write( " $\"sqrt%287x%29%2B3=7\"$ Combine like terms
\n" ); document.write( " $\"sqrt%287x%29=4\"$ Subtract 3 from both sides
\n" ); document.write( " $\"%28sqrt%287x%29%29%5E2=%284%29%5E2\"$ Square both sides
\n" ); document.write( " $\"7x=16\"$
\n" ); document.write( " $\"x=16%2F7\"$ Divide both sides by 7. This is your answer
\n" ); document.write( "

\n" ); document.write( "Check:
\n" ); document.write( " $\"sqrt%287x%29%2B4-1=7\"$
\n" ); document.write( " $\"sqrt%287%2816%2F7%29%29%2B4-1=7\"$ Plug in $\"x=16%2F7\"$
\n" ); document.write( " $\"sqrt%28cross%287%29%2816%2Fcross%287%29%29%29%2B4-1=7\"$
\n" ); document.write( " $\"sqrt%2816%29%2B4-1=7\"$
\n" ); document.write( " $\"4%2B3=7\"$
\n" ); document.write( " $\"7=7\"$ works \n" ); document.write( "

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