Multiple choice

For a Quadratic equation $ax^2+bx+c = 0 $ where $a$, $b$ and $c$ are real. which of the following option is/are correct ?

  1. It equation can have more than two roots.

  2. It can have one real root and one imaginary root.

  3. Both the roots of this quadratic equation can't be irrational together.

  4. It represents a parabola over x-y plane.
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AI explanation

The standard form of a quadratic equation is ax^2 + bx + c = 0, which can be represented graphically in the Cartesian coordinate system by the function y = ax^2 + bx + c. According to analytical geometry, any equation of the form y = ax^2 + bx + c, where a is not zero, plots as a parabola on the x-y plane.

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