SOLUTION: 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.

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.
Answer by stanbon(75887) (Show Source): 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.
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Assuming by "D" you mean the determinant, b^2-4ac.
If D < 0 the quadratic will have two distinct complex
solutions.
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Example:
y = x^2 + 2x + 4
D = 2^2 - 4*1*4 = -12
x = [-2 +- sqrt(-12)]/2
x = [- + 2isqrt(3)]/2
x = -1 + isqrt(3) or x = -1 - isqrt(3)
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Cheers,
Stan H.
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