Answer: Imaginary (complex).
- A Real and distinct
- B Equal and real
- C Imaginary (complex)
- D Rational
Correct answer: C. Imaginary (complex)
Explanation: D = 1 - 4 = -3 < 0. Roots are complex (imaginary).
A complex number z = a+ib is plotted as a point (or vector from the origin) on the Argand plane, with the real part along the horizontal axis and the imaginary part along the vertical; its modulus |z| is the vector's length, and its argument θ is the angle from the positive real axis.
Concept context
Complex numbers in a+ib form, modulus, argument, polar form, cube roots of unity, and quadratic equations with complex roots
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