document.write( "Question 637713: What is the best way to solve this equation in step by step ?\r
\n" ); document.write( "\n" ); document.write( "\"sqrt%282%2Fx%29+-+sqrt+%28x%2F2%29+=+1%2Fsqrt+%282%29+\"\r
\n" ); document.write( "\n" ); document.write( "I'm profoundly grateful for help.
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Algebra.Com's Answer #401827 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
solve this equation in step by step ?
\n" ); document.write( "\"sqrt%282%2Fx%29+-+sqrt+%28x%2F2%29\" = \"1%2Fsqrt%282%29\"
\n" ); document.write( "Square both sides
\n" ); document.write( "\"%28sqrt%282%2Fx%29+-+sqrt%28x%2F2%29%29%5E2\" = \"1%2F2\"
\n" ); document.write( ":
\n" ); document.write( "FOIL
\n" ); document.write( "\"%28sqrt%282%2Fx%29-sqrt+%28x%2F2%29%29\")*(\"sqrt%282%2Fx%29-sqrt%28x%2F2%29%29\"
\n" ); document.write( ":
\n" ); document.write( "Results
\n" ); document.write( "\"2%2Fx\" - \"sqrt%28%282x%29%2F%282x%29%29\" - \"sqrt%28%282x%29%2F%282x%29%29\" + \"x%2F2\" = \"1%2F2\"
\n" ); document.write( ":
\n" ); document.write( "2x/2x = 1, square root of 1 is 1 therefore
\n" ); document.write( "\"2%2Fx\" - 1 - 1 + \"x%2F2\" = \"1%2F2\"
\n" ); document.write( ":
\n" ); document.write( "\"2%2Fx\" - 2 + \"x%2F2\" = \"1%2F2\"
\n" ); document.write( ":
\n" ); document.write( "Multiply each term by 2x, to clear the denominators, results
\n" ); document.write( "2(2) - 4x + x^2 = x
\n" ); document.write( "Combine on the left to form a quadratic equation
\n" ); document.write( "x^2 - 5x - x + 4 = 0
\n" ); document.write( "x^2 - 5x + 4 = 0
\n" ); document.write( "Factors to:
\n" ); document.write( "(x-4)(x-1) = 0
\n" ); document.write( "two solutions
\n" ); document.write( "x=4
\n" ); document.write( "x=1
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