The quadratic 2x^2 - 3x + 27 = -4 has two imaginary roots. What is the sum of the squares of these roots? Express your answer as a decimal rounded to the nearest hundredth.
2x^2 - 3x + 27 = -4 has two imaginary roots. What is the sum of the squares of these roots?
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f(x)=2x2−3x+31=0
x=−3±√32−4⋅2⋅312⋅2
x∈{14(3+i√239),14(3−i√239)}
116(3+i√239)2+116(3−i√239)2=−1154=−28.75
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