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What is the discriminant of the quadratic equation -7x^(2)-5x+2=0 ? 31 81 -31 -81

What is the discriminant of the quadratic equation −7x2−5x+2=0 -7 x^{2}-5 x+2=0 ?\newline3131\newline8181\newline−31 -31 \newline−81 -81

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Q. What is the discriminant of the quadratic equation −7x2−5x+2=0 -7 x^{2}-5 x+2=0 ?\newline3131\newline8181\newline−31 -31 \newline−81 -81
  1. Identify Coefficients: Step Title: Identify the Coefficients of the Quadratic Equation\newlineConcise Step Description: Identify the coefficients of the quadratic equation to use in the discriminant formula.\newlineStep Calculation: The coefficients are a=−7a = -7, b=−5b = -5, and c=2c = 2.
  2. Recall Formula: Step Title: Recall the Discriminant Formula\newlineConcise Step Description: Recall the formula for the discriminant of a quadratic equation, which is D=b2−4acD = b^2 - 4ac.\newlineStep Calculation: No calculation needed at this step.
  3. Calculate Discriminant: Step Title: Calculate the Discriminant\newlineConcise Step Description: Substitute the identified coefficients into the discriminant formula to find the value of the discriminant.\newlineStep Calculation: D=(−5)2−4(−7)(2)=25−(−56)=25+56=81D = (-5)^2 - 4(-7)(2) = 25 - (-56) = 25 + 56 = 81

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