document.write( "Question 265883: (x-6)^2=4 \n" ); document.write( "
Algebra.Com's Answer #854015 by ikleyn(53746) You can put this solution on YOUR website! . \n" ); document.write( "(x-6)^2=4 \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " In his post, @mananth provided only one value as the answer, x = 8.\r \n" ); document.write( "\n" ); document.write( " Actually, this equation has TWO solutions, so the post by @manant is incomplete and, therefore, incorrect.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " See my complete and correct solution below.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(x-6)^2=4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Take square root of both sides.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Keep in mind that square root of the number 4 has two values, 2 and -2.\r \n" ); document.write( "\n" ); document.write( "Therefore\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " x-6 = +/- 2.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " If x -6 = 2, then x = 2 + 6 = 8.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " If x - 6 = -2, then x = -2 + 6 = 4.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Thus the given equation has two solutions, x = 4 and x = 8. ANSWER\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solved correctly and completely.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |