Multiple choice

__________ is true for the discriminant of a 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 D = b^2 - 4ac = 1^2 - 4(1)(1) = 1 - 4 = -3. Since -3 < 0, D < 0.

AI explanation

The discriminant D of a quadratic equation ax^2 + bx + c = 0 is calculated as D = b^2 - 4ac. Substituting the coefficients from x^2 + x + 1 = 0 gives D = 1^2 - 4(1)(1). This evaluates to 1 - 4 = -3. Because -3 is less than 0, D < 0 is true.

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