Multiple choice

When will the quadratic equation $ax^2+bx+c=0$ NOT have Real Roots?

  1. $b^2 - 4ac \ge 0$
  2. $b^2 - 4ac > 0$
  3. $b^2 - 4ac < 0$

  4. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A quadratic equation has no real roots when the discriminant (b^2 - 4ac) is less than zero.

AI explanation

The discriminant of a quadratic equation, given by the formula D = b^2 - 4ac, dictates the nature of its roots. When the value of the discriminant is less than zero, meaning b^2 - 4ac < 0, the square root yields an imaginary number, so the equation does not have real roots.

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