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What is the discriminant of the quadratic equation -x^(2)+4x-7=0 ? 12 44 -44 -12

What is the discriminant of the quadratic equation −x2+4x−7=0 -x^{2}+4 x-7=0 ?\newline1212\newline4444\newline−44 -44 \newline−12 -12

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Q. What is the discriminant of the quadratic equation −x2+4x−7=0 -x^{2}+4 x-7=0 ?\newline1212\newline4444\newline−44 -44 \newline−12 -12
  1. Identify values: Identify the values of aa, bb, and cc in the quadratic equation −x2+4x−7=0-x^2 + 4x - 7 = 0 by comparing it to the standard form ax2+bx+c=0ax^2 + bx + c = 0. Here, a=−1a = -1, b=4b = 4, and c=−7c = -7.
  2. Calculate discriminant: Calculate the discriminant using the formula D=b2−4acD = b^2 - 4ac with the values of aa, bb, and cc identified in the previous step.\newlineD=42−4(−1)(−7)D = 4^2 - 4(-1)(-7)
  3. Simplify calculation: Simplify the discriminant calculation.\newlineD=16−4∗(−1)∗(−7)D = 16 - 4*(-1)*(-7)\newlineD=16−4∗1∗7D = 16 - 4*1*7\newlineD=16−28D = 16 - 28\newlineD=−12D = -12

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