document.write( "Question 1094824: Solve the equation x^3-9x+10=0 , expressing non-integer roots in the form c+/-d(sqrt6) , where c and d are integers. \n" ); document.write( "
Algebra.Com's Answer #709448 by ikleyn(52786)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "x^3-9x+10 = 0 .\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "1. Notice that x= 2 is the root.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "2. According to the Remainder theorem, it means that the given polynomial of degree 3 is divided by the binomial (x+2) without a remainder.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "3. Divide x^3-9x+10 by (x+2) (long division).\r\n" ); document.write( "\r\n" ); document.write( " You will get a quadratic polynomial.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "4. Find the roots of this quadratic polynomial using quadratic formula.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "That's all.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |