Q. What is the discriminant of the quadratic equation 7x2−9x−2=0 ?25137−137−25
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 apply the formula.
Given Quadratic Equation: The given quadratic equation is 7x2−9x−2=0. Here, the coefficient a is 7, the coefficient b is −9, and the coefficient c is −2.
Calculate Discriminant: Now we will calculate the discriminant using the formula D=b2−4ac. Substituting the values of a, b, and c, we get D=(−9)2−4(7)(−2).
Final Result: Calculating the discriminant, we have D=81−4(7)(−2)=81−(−56)=81+56=137.