document.write( "Question 110451: Could you PLEASE help me get the solution to the Radical Equation of $\"+SQRT%285-x%29+-+4=6\"$ ? \n" ); document.write( "

Algebra.Com's Answer #80528 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"sqrt%285-x%29+-+4+=+6\"$
\n" ); document.write( ":
\n" ); document.write( "Add 4 to both sides:
\n" ); document.write( " $\"sqrt%285-x%29+=+6+%2B+4\"$
\n" ); document.write( " $\"sqrt%285-x%29+=+10\"$
\n" ); document.write( ":
\n" ); document.write( "Square both sides and you have:
\n" ); document.write( "(5 - x) = 10^2
\n" ); document.write( " 5 - x = 100
\n" ); document.write( " -x = 100 - 5
\n" ); document.write( " -x = 95
\n" ); document.write( ":
\n" ); document.write( "x has to be positive, multiply equation by -1 and you have:
\n" ); document.write( " x = -95
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution in original equation:
\n" ); document.write( " $\"sqrt%285-%28-95%29%29+-+4+=+6\"$
\n" ); document.write( " $\"sqrt%285+%2B+95%29+-+4+=+6\"$ ; remember minus a minus is a plus
\n" ); document.write( " $\"sqrt%28100%29+-+4+=+6\"$
\n" ); document.write( " 10 - 4 = 6; confirms our solution
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