Quadratic EquationHard
Question
If 2 + 3i is one of the roots of the equation 2x3 − 9x2 + kx − 13 = 0, k ∈ R, then the real root of this equation
Options
A.exists and is equal to 1
B.exists and is equal to − 1/2
C.exists and is equal to 1/2
D.does not exist
Solution
2 + 3i + 2 – 3i + α = 9/2
α = 9/2 − 4 = 1/2
α = 9/2 − 4 = 1/2
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