document.write( "Question 320345: How do you solve (5x-4)squared= 9? \n" ); document.write( "
Algebra.Com's Answer #229423 by Theo(13342)![]() ![]() You can put this solution on YOUR website! (5x-4)^2 = 9\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Take the square root of each side of the equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5x-4 = 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Add 4 to both sides of the equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5x = 7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide both sides of the equation by 5 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 7/5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Confirm by substituting x = 7/5 into both sides of the equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(5*(7/5) - 4)^2 = 9\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5 * 7/5 = 7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(7-4)^2 = 9 becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3^2 = 9 which becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "9 = 9 which is true confirming that the value of x = 7/5 is good.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |