Identify coefficients: Identify the coefficients a, b, and c from the quadratic equation in the form ax2+bx+c=0. For the equation 9v2−5v−9=0, we have: a=9b=−5c=−9
Recall discriminant formula: Recall the formula for the discriminant of a quadratic equation, which is D=b2−4ac.
Substitute values into formula: Substitute the identified values of a, b, and c into the discriminant formula.D=(−5)2−4×9×(−9)
Calculate discriminant: Calculate the discriminant using the substituted values.D=25−4×9×(−9)D=25+324D=349