document.write( "Question 671880: How do you find the complex zeroes of the ploynominal function f(x)=x^3+10x? \n" ); document.write( "
Algebra.Com's Answer #417697 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! f(x) = x^3+10x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "0 = x^3+10x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^3+10x = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x(x^2+10) = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 0 or x^2+10 = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 0 or x^2 = -10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 0 or x = +-sqrt(-10)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 0, x = i*sqrt(10) or x = -i*sqrt(10)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the three solutions are x = 0, x = i*sqrt(10) or x = -i*sqrt(10) \n" ); document.write( " |