Multiple choice

Find the discriminant for the given quadratic equation: $x^2\,+\,x\,+\,1\,=\,0$

  1. $-3$
  2. $-5$
  3. $-7$
  4. $-9$
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A Correct answer
Explanation

For x^2 + x + 1 = 0, a=1, b=1, c=1. Discriminant = b^2 - 4ac = 1^2 - 4(1)(1) = 1 - 4 = -3.

AI explanation

The discriminant of a quadratic equation is given by the formula D = b^2 - 4ac. For the equation x^2 + x + 1 = 0, the values of the coefficients are a = 1, b = 1, and c = 1. Substituting these into the formula gives D = (1)^2 - 4(1)(1), which equals 1 - 4, resulting in a discriminant of -3.

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