document.write( "Question 901140: Solve the equation √x−5=x−5.75 . You will find only one solution \n" ); document.write( "
Algebra.Com's Answer #546502 by lwsshak3(11628)\"\" \"About 
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Solve the equation √x−5=x−5.75 . You will find only one solution
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\n" ); document.write( "√x−5=x−5.75
\n" ); document.write( "√x=x-.75
\n" ); document.write( "square both sides
\n" ); document.write( "x=x^2-1.5x+.75^2
\n" ); document.write( "x^2-2.5x+.75^2=0
\n" ); document.write( "(x-.25)(x-2.25)=0
\n" ); document.write( "x=0.25
\n" ); document.write( "or
\n" ); document.write( "x=2.25
\n" ); document.write( "check:
\n" ); document.write( "For x=0.25
\n" ); document.write( "√(.25)-5=.25-5.75
\n" ); document.write( "-4.5≠5.5
\n" ); document.write( "0.25 is extraneous root
\n" ); document.write( "..
\n" ); document.write( "For x=2.25
\n" ); document.write( "√(2.25)-5=2.25-5.75
\n" ); document.write( "-3.5=-3.5
\n" ); document.write( "2.25 check ok
\n" ); document.write( " \n" ); document.write( "
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