document.write( "Question 48581: use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. Note: It is not necessary to find the roots; just determine the number and types of solutions.\r
\n" );
document.write( "\n" );
document.write( " 2x^2 + x - 1 = 0\r
\n" );
document.write( "\n" );
document.write( " 4/3x^2 - 2x + 3/4 = 0\r
\n" );
document.write( "\n" );
document.write( " 2x^2 + 5x + 5 = 0\r
\n" );
document.write( "\n" );
document.write( " 3z^2 + z - 1 = 0\r
\n" );
document.write( "\n" );
document.write( " m^2 + m + 1 = 0
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #32161 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! 2x^2 + x - 1 = 0 \n" ); document.write( "I'll do one and let you do the rest: \n" ); document.write( "1st: Identify a,b,c for the problem: \n" ); document.write( "In this case a=2,b=1,c=-1 \n" ); document.write( "2nd: Evaluate b^2-4ac \n" ); document.write( "In this case you get 1^2-4(2)(-1) =1+8=9 \n" ); document.write( "3rd: If the value is > there are two real unequal roots \n" ); document.write( "If the value is 0 there are two real equal roots \n" ); document.write( "If the value is <0 there are two uneqal complex roots \n" ); document.write( "In this case, since the value is 9, there are two real unequal roots.\r \n" ); document.write( "\n" ); document.write( "I'll leave the rest to you. \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |