document.write( "Question 994111: square root of 5 more than twice a number is 7 \n" ); document.write( "
Algebra.Com's Answer #613350 by Theo(13342) You can put this solution on YOUR website! 7 = 2x + sqrt(5)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtract 2x from both sides of the equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7 - 2x = sqrt(5)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "square both sides of the equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(7-2x)^2 = 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify the left side of the equation by squaring it to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "49 - 28x + 4x^2 = 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtract 5 from both sides of the equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "49 - 5 - 28x + 4x^2 = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "combine like terms to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "44 - 28x + 4x^2 = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "rearrange the terms in descending order to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4x^2 - 28x + 44 = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "factor out the gcf to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4 * (x^2 - 7x + 11) = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide both sides of the equation by 4 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^2 - 7x + 11 = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "factor the quadratic using the quadratic formula to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 4.618 and x = 2.382\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "answers are rounded to the third decimal place.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "here's some info on the quadratic formula.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "http://www.regentsprep.org/regents/math/algtrig/ate3/quadformula.htm\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |