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What is the discriminant of the quadratic equation -x^(2)-x-2=0 ? -9 -7 9 7

What is the discriminant of the quadratic equation −x2−x−2=0 -x^{2}-x-2=0 ?\newline−9 -9 \newline−7 -7 \newline99\newline77

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Full solution

Q. What is the discriminant of the quadratic equation −x2−x−2=0 -x^{2}-x-2=0 ?\newline−9 -9 \newline−7 -7 \newline99\newline77
  1. Identify coefficients: Identify the coefficients of the quadratic equation in the form ax2+bx+c=0ax^2 + bx + c = 0. For the equation −x2−x−2=0-x^2 - x - 2 = 0, the coefficients are a=−1a = -1, b=−1b = -1, and c=−2c = -2.
  2. Recall discriminant formula: Recall the formula for the discriminant of a quadratic equation, which is D=b2−4acD = b^2 - 4ac.
  3. Substitute coefficients: Substitute the identified coefficients into the discriminant formula. So, D=(−1)2−4⋅(−1)⋅(−2)D = (-1)^2 - 4 \cdot (-1) \cdot (-2).
  4. Calculate discriminant: Calculate the discriminant. D=1−4∗(−1)∗(−2)=1−8=−7D = 1 - 4*(-1)*(-2) = 1 - 8 = -7.

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