Identify coefficients: Identify the coefficients a, b, and c from the quadratic equation in the form ax2+bx+c=0. For the equation 3y2−y+9=0, we have: a=3b=−1c=9
Recall discriminant formula: Recall the formula for the discriminant of a quadratic equation, which is D=b2−4ac.
Substitute values: Substitute the identified values into the discriminant formula. D=(−1)2−4×3×9
Calculate discriminant: Calculate the discriminant.D=1−4×3×9D=1−108D=−107