document.write( "Question 1173229: Hello I need help solving this quadratic equation by completing the square and rounding the solution to nearest hundredth please. \r
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Algebra.Com's Answer #798423 by Theo(13342)![]() ![]() You can put this solution on YOUR website! start with: \n" ); document.write( "x^2 - 10x + 10 = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtract 10 from both sides of the equation to get: \n" ); document.write( "x^2 - 10x = -10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "take half the coefficient of the x term and adding it to x to get (x - 5)^2 = -10 \n" ); document.write( "(x - 5)^2 is equal to x^2 -10x + 25 \n" ); document.write( "to make (x - 5)^2 equal to x^2 - 10x, you need to subtract 25 from the result. \n" ); document.write( "you get (x - 5)^2 - 25 = -10 \n" ); document.write( "add 25 to both sides of the equation to get: \n" ); document.write( "(x - 5)^2 = 15\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "take the square root of both sides of this equation to get: \n" ); document.write( "x - 5 = plus or minus sqrt(15) \n" ); document.write( "add 5 to both sides of this equation to get: \n" ); document.write( "x = 5 plus or minus sqrt(15) \n" ); document.write( "that's your solution.\r \n" ); document.write( "\n" ); document.write( "if you graph the equations of x^2 - 10x + 10 = y, and (x - 5)^2 - 15 = y, they should be identical.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the following graph shows that they are:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the roots shown are 1.127 and 8.873. \n" ); document.write( "5 + sqrt(15) = 8.873 rounded to 3 decimal places. \n" ); document.write( "5 - sqrt(15) = 1.127 rounded to 3 decimal places.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "both equations draw the same graph. \n" ); document.write( "this means they are identical. \n" ); document.write( "they are two different versions of the same equation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your solution is x = 5 plus or minus sqrt(15)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |