document.write( "Question 446134: Solve the equation.\r
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document.write( "sqrt (x) - sqrt (x-5) = 1 \n" );
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Algebra.Com's Answer #307471 by lwsshak3(11628) ![]() You can put this solution on YOUR website! Solve the equation. \n" ); document.write( "sqrt (x) - sqrt (x-5) = 1 \n" ); document.write( ".. \n" ); document.write( "√x-√(x-5)=1 \n" ); document.write( "square both sides \n" ); document.write( "x-2√(x(x-5))+x-5=1 \n" ); document.write( "-2√(x(x-5))+2x-5=1 \n" ); document.write( "-2√(x(x-5))=-2x+6 \n" ); document.write( "2√(x(x-5))=2x-6 \n" ); document.write( "square both sides again \n" ); document.write( "4(x^2-5x)=4x^2-24x+36 \n" ); document.write( "4x^2-20x=4x^2-24x+36 \n" ); document.write( "4x=36 \n" ); document.write( "x=9 (ans) \n" ); document.write( " |