Q. What is the discriminant of the quadratic equation −5x2−6x−9=0 ?144216−144−216
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 quadratic equation and then calculate the discriminant.
Substitute Values: Identify the coefficients from the quadratic equation −5x2−6x−9=0. Here, a=−5, b=−6, and c=−9.
Calculate Discriminant: Substitute the values of a, b, and c into the discriminant formula D=b2−4ac. So, D=(−6)2−4(−5)(−9).
Calculate Discriminant: Substitute the values of a, b, and c into the discriminant formula D=b2−4ac. So, D=(−6)2−4(−5)(−9).Calculate the discriminant: D=36−4(5)(9)=36−180=−144.