document.write( "Question 372500: I having trouble getting this radical expression to solve. I do not have the root symbol so I will use the forward slash. I get different answers each time I try to solve. Can you please help me understand this problem?\r
\n" ); document.write( "\n" ); document.write( "/10 − 2x − /5x + 16 = 3
\n" ); document.write( "/10-2x=3-/5x+16
\n" ); document.write( "(/10-2x)^2= (3- /5x+16)^2
\n" ); document.write( "10-2x=9-6/5x+16 + (5x+16)
\n" ); document.write( "10=9-6/5x+16
\n" ); document.write( "1=6/5x+16
\n" ); document.write( "0.1666=/5x+16
\n" ); document.write( "0.1666^2=(/5x+16)^2
\n" ); document.write( "0.03=5x+256
\n" ); document.write( "-255.973 or -256=x
\n" ); document.write( "

Algebra.Com's Answer #265352 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
You can just use sqrt(10-2x) to denote the square root function.
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\n" ); document.write( "\"sqrt%2810-2x%29-sqrt%285x%2B16%29=3\"
\n" ); document.write( "\"sqrt%2810-2x%29=sqrt%285x%2B16%29%2B3\"
\n" ); document.write( "Square both sides.
\n" ); document.write( "\"10-2x=5x%2B16%2B6%2Asqrt%285x%2B16%29%2B9\"
\n" ); document.write( "\"10-2x=5x%2B25%2B6%2Asqrt%285x%2B16%29\"
\n" ); document.write( "\"-15-7x=6%2Asqrt%285x%2B16%29\"
\n" ); document.write( "\"-%287x%2B15%29=6%2Asqrt%285x%2B16%29\"
\n" ); document.write( "Square both sides again,
\n" ); document.write( "\"49x%5E2%2B210x%2B225=36%285x%2B16%29\"
\n" ); document.write( "\"49x%5E2%2B210x%2B225=180x%2B576%29\"
\n" ); document.write( "\"49x%5E2%2B30x-351=0\"
\n" ); document.write( "\"%2849x-117%29%28x%2B3%29=0\"
\n" ); document.write( "Two solutions:
\n" ); document.write( "\"49x-117=0\"
\n" ); document.write( "\"x=117%2F49\"
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\n" ); document.write( "\"x%2B3=0\"
\n" ); document.write( "\"x=-3\"
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\n" ); document.write( "Verify the solutions,
\n" ); document.write( "Since \"x=117%2F49\" would lead to a negative argument for the square root function, it is not a solution.
\n" ); document.write( "\"highlight%28x=-3%29\"
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