Multiple choice

............... is true for discriminate of quadratic equation $x^2 + x + 1 = 0$.

  1. D = 0

  2. D < 0

  3. D > 0

  4. D is a perfect square
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

For x^2 + x + 1 = 0, the discriminant is D = b^2 - 4ac = 1 - 4 = -3. Therefore, D < 0.

AI explanation

The discriminant of a quadratic equation ax^2 + bx + c = 0 is given by the formula D = b^2 - 4ac. Substituting the values from x^2 + x + 1 = 0 gives D = (1)^2 - 4(1)(1) = 1 - 4 = -3. Because -3 is less than zero, D < 0.

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