document.write( "Question 199159: What type of solution do you get for quadratic equations where D<0? Give reasons for answer. provide an examploe of such a quadratic equation and find the solution of the equation. \n" ); document.write( "
Algebra.Com's Answer #149620 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! What type of solution do you get for quadratic equations where D<0? Give reasons for answer. provide an examploe of such a quadratic equation and find the solution of the equation. \n" ); document.write( "---------------------------- \n" ); document.write( "Assuming by \"D\" you mean the determinant, b^2-4ac. \n" ); document.write( "If D < 0 the quadratic will have two distinct complex \n" ); document.write( "solutions. \n" ); document.write( "----------------- \n" ); document.write( "Example: \n" ); document.write( "y = x^2 + 2x + 4 \n" ); document.write( "D = 2^2 - 4*1*4 = -12 \n" ); document.write( "x = [-2 +- sqrt(-12)]/2 \n" ); document.write( "x = [- + 2isqrt(3)]/2 \n" ); document.write( "x = -1 + isqrt(3) or x = -1 - isqrt(3) \n" ); document.write( "========================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |