document.write( "Question 629356:
\r\n" );
document.write( "25 + 4x² = -20x\r\n" );
document.write( "                    discriminant\r\n" );
document.write( "how do you find the determinant then the number of rational, irrational or complex roots??

\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #396221 by solver91311(24713)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "First put your equation into standard form, \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "then\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Find the Discriminant, and evaluate the nature of the roots as follows:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "No calculation quick look: If the signs on and are opposite, then 0\"> guaranteed.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " 0 \ \ \Rightarrow\ \\"> Two real and unequal roots. If is a perfect square, the quadratic factors over (the rationals).\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " One real root with a multiplicity of two. That is to say that the trinomial is a perfect square and has two identical factors. Presuming rational coefficients, the root will be rational as well.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " A conjugate pair of complex roots of the form where is the imaginary number defined by \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "John
\n" ); document.write( "
\n" ); document.write( "My calculator said it, I believe it, that settles it
\n" ); document.write( "
\"The

\n" ); document.write( "
\n" ); document.write( "
\n" );