document.write( "Question 76685: I have been trying to figure this out. I couldn't do it the conventional way, but I did find the answer doing guess and check. Please help me find the right way to solve it.
\n" ); document.write( "\"+sqrt%28+x%2B14+%29+\"-\"+sqrt%28+x-10+%29+\"= 2
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Algebra.Com's Answer #55004 by funmath(2933)\"\" \"About 
You can put this solution on YOUR website!
I have been trying to figure this out. I couldn't do it the conventional way, but I did find the answer doing guess and check. Please help me find the right way to solve it.
\n" ); document.write( "\"+sqrt%28+x%2B14+%29+\"-\"+sqrt%28+x-10+%29+\"= 2
\n" ); document.write( "\"sqrt%28x%2B14%29-sqrt%28x-10%29%2Bsqrt%28x-10%29=2%2Bsqrt%28x-10%29\"
\n" ); document.write( "\"sqrt%28x%2B14%29=2%2Bsqrt%28x-10%29\"
\n" ); document.write( "\"%28sqrt%28x%2B14%29%29%5E2=%282%2Bsqrt%28x-10%29%29%5E2\"
\n" ); document.write( "\"x%2B14=%282%2Bsqrt%28x-10%29%29%282%2Bsqrt%28x-10%29%29\"
\n" ); document.write( "\"x%2B14=4%2B2sqrt%28x-10%29%2B2sqrt%28x-10%29%2Bsqrt%28x-10%29%5E2\"
\n" ); document.write( "\"x%2B14=4%2B4sqrt%28x-10%29%2Bx-10\"
\n" ); document.write( "\"x%2B14=4sqrt%28x-10%29%2Bx-6\"
\n" ); document.write( "\"x-x%2B14%2B6=4sqrt%28x-10%29%2Bx-x-6%2B6\"
\n" ); document.write( "\"20=4sqrt%28x-10%29\"
\n" ); document.write( "\"20%2F4=4sqrt%28x-10%29%2F4\"
\n" ); document.write( "\"5=sqrt%28x-10%29\"
\n" ); document.write( "\"%285%29%5E2=sqrt%28x-10%29%5E2\"
\n" ); document.write( "\"25=x-10\"
\n" ); document.write( "\"25%2B10=x-10%2B10\"
\n" ); document.write( "\"35=x\"
\n" ); document.write( "Check to make sure it's not extraneous:
\n" ); document.write( "\"sqrt%2835%2B14%29-sqrt%2835-10%29=2\"
\n" ); document.write( "\"sqrt%2849%29-sqrt%2825%29=2\"
\n" ); document.write( "\"7-5=2\"
\n" ); document.write( "\"2=2\" It's valid:
\n" ); document.write( "\"highlight%28x=35%29\"
\n" ); document.write( "Happy Calculating!!!!
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