Identify coefficients: Identify the coefficients a, b, and c from the quadratic equation4z2−z+2=0 by comparing it to the standard form ax2+bx+c=0.a=4, b=−1, c=2
Recall 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)2−4×4×2.
Calculate discriminant: Calculate the discriminant: D=1−32.
Simplify result: Simplify the result to find the value of the discriminant: D=−31.