document.write( "Question 1209596: Find all values of z such that z^4 - 4z^2 + 3 = 5z^2 + 11z^3 - 40. \n" ); document.write( "
Algebra.Com's Answer #849645 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "\r\n" ); document.write( "It is theoretically possible to solve all quartics in terms of their coefficients,\r\n" ); document.write( "using only the standard operations of arithmetic and roots with integer indices.\r\n" ); document.write( "\r\n" ); document.write( "However, since it would be very laborious to do so in this case, here are\r\n" ); document.write( "approximations for the 4 solutions, 2 real and two non-real.\r\n" ); document.write( "\r\n" ); document.write( "z ≈ 1.38746303\r\n" ); document.write( "z ≈ 11.74003348\r\n" ); document.write( "z ≈ -1.063748255 + 1.228120608i\r\n" ); document.write( "z ≈ -1.063748255 - 1.228120608i\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |