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What is the discriminant of the quadratic equation 
3x^(2)-3x-7=0 ?
93

-75

-93
75

What is the discriminant of the quadratic equation 3x23x7=0 3 x^{2}-3 x-7=0 ?\newline9393\newline75 -75 \newline93 -93 \newline7575

Full solution

Q. What is the discriminant of the quadratic equation 3x23x7=0 3 x^{2}-3 x-7=0 ?\newline9393\newline75 -75 \newline93 -93 \newline7575
  1. Identify Coefficients: The discriminant of a quadratic equation ax2+bx+c=0ax^2 + bx + c = 0 is given by the formula D=b24acD = b^2 - 4ac. We need to identify the coefficients aa, bb, and cc from the given equation and then calculate the discriminant.
  2. Given Quadratic Equation: The given quadratic equation is 3x23x7=03x^2 - 3x - 7 = 0. Here, the coefficient aa is 33, the coefficient bb is 3-3, and the coefficient cc is 7-7.
  3. Substitute Values: Now we will substitute the values of aa, bb, and cc into the discriminant formula D=b24acD = b^2 - 4ac. So, D=(3)24(3)(7)D = (-3)^2 - 4(3)(-7).
  4. Calculate Discriminant: Calculating the discriminant, D=94(3)(7)=9+84=93D = 9 - 4(3)(-7) = 9 + 84 = 93.

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