Q. What is the discriminant of the quadratic equation 3x2−3x−7=0 ?93−75−9375
Identify Coefficients: The discriminant of a quadratic equation ax2+bx+c=0 is given by the formula D=b2−4ac. We need to identify the coefficients a, b, and c from the given equation and then calculate the discriminant.
Given Quadratic Equation: The given quadratic equation is 3x2−3x−7=0. Here, the coefficient a is 3, the coefficient b is −3, and the coefficient c is −7.
Substitute Values: Now we will substitute the values of a, b, and c into the discriminant formula D=b2−4ac. So, D=(−3)2−4(3)(−7).
Calculate Discriminant: Calculating the discriminant, D=9−4(3)(−7)=9+84=93.