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.
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By "D" I assume mean the discriminant, b^2-4ac.
If D<0 the quadratic equation will produce two 
solutions that are both complex numbers because
you will be taking the square root of a negative
in the process.
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Example: 
y = x^2-x+4
D = b^2-4ac = 1-4*1*4 = -15
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Solutions:
x = [1 +- sqrt(-15)]/2
x = [1 + isqrt(15)]/2 or x = [1- i sqrt(15)]/2

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Cheers,
Stan H.