Multiple choice

If the value of '$b^2-4ac$' is less than zero, the quadratic equation $ax^2+bx+c=0$ will have

  1. Two Equal Real Roots.

  2. Two Distinct Real Roots.

  3. No Real Roots.

  4. None of the above.
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C Correct answer
Explanation

The discriminant D = b^2 - 4ac determines the nature of roots. If D < 0, the roots are complex (not real).

AI explanation

The discriminant of a quadratic equation is given by the formula D = b^2 - 4ac, which determines the nature of the roots. If the value of the discriminant is less than zero, it means the square root portion of the quadratic formula involves an imaginary number. Therefore, the quadratic equation will have no real roots.

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