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Black Book Advanced Problems in MathematicsMathematicsQuadratic Equation

If a, b, c are real distinct numbers such that a^3 + b^3 + c^3 = 3abc , then the quadratic equation ax^2 + bx + c = 0 has

Options

AReal roots
BAt least one negative root
CBoth roots are negative
DNon real roots.

Correct answer

A. Real roots

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