Multiple choice

The number of real roots a quadratic equation has if the discriminant is -4, is

  1. 3

  2. 2

  3. 0

  4. 1
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C Correct answer
Explanation

The discriminant D of a quadratic equation determines the nature of its roots. If D < 0, the equation has no real roots (it has two complex conjugate roots).

AI explanation

The nature of the roots of a quadratic equation is determined by the discriminant, calculated as D = b^2 - 4ac. When the discriminant is a negative number, such as -4, it means there are no real number solutions because the quadratic formula requires taking the square root of a negative number. Therefore, a discriminant of -4 indicates that the quadratic equation has exactly 0 real roots.

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