document.write( "Question 88437: Hello I am working with the Descartes rule of signs.\r
\n" ); document.write( "\n" ); document.write( "I am supposed to discuss the possibilities for the roots of the equation. Do not solve the equation.\r
\n" ); document.write( "\n" ); document.write( "THE EQUATION IS x^5+x^3+5x=0\r
\n" ); document.write( "\n" ); document.write( "Here is my answer\r
\n" ); document.write( "\n" ); document.write( "Pos: 3......0
\n" ); document.write( "Neg: 0......3
\n" ); document.write( "Imag: \r
\n" ); document.write( "\n" ); document.write( "Am I even close on this problem?\r
\n" ); document.write( "\n" ); document.write( "Thank you \n" ); document.write( "

Algebra.Com's Answer #64279 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
discuss the possibilities for the roots of the equation. Do not solve the equation.
\n" ); document.write( "THE EQUATION IS x^5+x^3+5x=0
\n" ); document.write( "---------
\n" ); document.write( "# of changes of sign for f(x) is zero
\n" ); document.write( "# of positive roots = zero
\n" ); document.write( "---------
\n" ); document.write( "f(-x)=-x^5-x^3-5x
\n" ); document.write( "# of changes of sign of f(-x) is zero
\n" ); document.write( "# of negative roots = 0
\n" ); document.write( "The equation can be written as x(x^4+x^2+5)=0
\n" ); document.write( "So, it has a zero at x=0.
\n" ); document.write( "The remaining four roots are imaginary.
\n" ); document.write( "==============
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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