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Black Book Advanced Problems in MathematicsMathematicsQuadratic Equation

Let a, b, c, d are positive real numbers such that a/b c/d , then the roots of the equation: (a^2+b^2)x^2 + 2x(ac+bd) + (c^2+d^2) = 0 are:

Options

Areal and distinct
Breal and equal
Cimaginary
Dnothing can be said.

Correct answer

C. imaginary

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