Consider equation with real coefficients and with distinct roots , and , where is a complex number. Then,
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1 mark, −0.33MathematicsQuantitative aptitude and data reasoningEquations and inequalitiesHardabout 2 min
UoH 2015 Question 29: Quantitative aptitude and data reasoning
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Consider equation a x³ + b x² + c x + d = 0 with real coefficients (a,b,c,d) and with distinct roots α, β and γ, where α is a complex number. Then, (A) both β and γ are real numbers (B) both β and γ are complex numbers (C) both β and γ are imaginary numbers (D) either β is a real number or γ is a real number but not both β and γ are real numbers
Also written as: Consider equation a x^3 + b x^2 + c x + d = 0 with real coefficients (a,b,c,d) and with distinct roots alpha, beta and gamma, where alpha is a complex number. Then,
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What this question tests
This question is on Equations and inequalities, part of Quantitative aptitude and data reasoning in Mathematics.
Solving quadratic and other equations and inequalities.
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