Answer:
c must be -4
Explanation:
x^2 - 5x + c = 0 is a quadratic whose coefficients are a = 1, b = -5 and c = c.
The discriminant is b^2 - 4ac, and we know that b^2 - 4ac = 41.
Substituting -5 for b and 1 for a, we get:
(-b)^2 - 4(1)(c) = 41, or 25 - 4c = 41, or -4c = 16. Thus, c must be -4, and the quadratic is
x^2 - 5x - 4