document.write( "Question 482954: What is 4 more than the square root of 2x equals x? Please include all work. \n" ); document.write( "
Algebra.Com's Answer #330558 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! What is 4 more than the square root of 2x equals x? \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "subtract 4 from both sides \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "square both sides \n" ); document.write( "2x = (x-4)^2 \n" ); document.write( ": \n" ); document.write( "FOIL (x-4(x-4) \n" ); document.write( "2x = x^2 - 8x + 16 \n" ); document.write( ": \n" ); document.write( "Subtract 2x from both sides \n" ); document.write( "0 = x^2 - 8x - 2x + 16 \n" ); document.write( ": \n" ); document.write( "A quadratic equation \n" ); document.write( "x^2 - 10x + 16 = 0 \n" ); document.write( ": \n" ); document.write( "Factor to \n" ); document.write( "(x-8)(x-2) = 0 \n" ); document.write( ": \n" ); document.write( "Two solutions \n" ); document.write( "x = 8 \n" ); document.write( "x = 2 \n" ); document.write( ": \n" ); document.write( "Check both solutions in original equation \n" ); document.write( "x=8 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "and \n" ); document.write( "x=2 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "2 + 4 does not = 2, therefore not a good solutions \n" ); document.write( " |