document.write( "Question 149395: What type of solution do you get for quadratic equations where D<0? Give reasons for your answer. Also provide an example of such a quadratic equation and find the solution of the equation. \n" ); document.write( "
Algebra.Com's Answer #109605 by stanbon(75887)\"\" \"About 
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What type of solution do you get for quadratic equations where D<0? Give reasons for your answer. Also provide an example of such a quadratic equation and find the solution of the equation.
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\n" ); document.write( "By \"D\" I assume mean the discriminant, b^2-4ac.
\n" ); document.write( "If D<0 the quadratic equation will produce two
\n" ); document.write( "solutions that are both complex numbers because
\n" ); document.write( "you will be taking the square root of a negative
\n" ); document.write( "in the process.
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\n" ); document.write( "Example:
\n" ); document.write( "y = x^2-x+4
\n" ); document.write( "D = b^2-4ac = 1-4*1*4 = -15
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\n" ); document.write( "Solutions:
\n" ); document.write( "x = [1 +- sqrt(-15)]/2
\n" ); document.write( "x = [1 + isqrt(15)]/2 or x = [1- i sqrt(15)]/2\r
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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