Identify coefficients: Identify the coefficients a, b, and c from the quadratic equation in the form ax2+bx+c=0. For the equation 9y2+7y+4=0, we have: a=9b=7c=4
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 into the discriminant formula.D=b2−4acD=(7)2−4×9×4
Calculate discriminant: Calculate the discriminant.D=49−4×9×4D=49−144D=−95