Q. What is the discriminant of the quadratic equation 7x2−7x−3=0 ?−13335−35133
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.In the equation 7x2−7x−3=0, a=7, b=−7, and c=−3.
Calculate discriminant: Now we will calculate the discriminant using the formula D=b2−4ac with the identified coefficients.D=(−7)2−4(7)(−3)
Perform calculations: Perform the calculations within the discriminant formula. D=49−4(7)(−3)D=49+84
Add numbers: Add the two numbers to find the value of the discriminant.D=49+84D=133