Final answer:
To determine the value of b, we need to solve the equation using the given values of a and c in the quadratic formula. However, since the equation has no real solutions, the value of b cannot be determined with the given information.
Step-by-step explanation:
To determine the value of b, we need to solve the equation using the given values of a and c in the quadratic formula.
Substituting the values a = -5 and c = 18 in the formula, we have:
b = (-(-5) ± √((-5)² - 4 × 1 × 18)) / (2 × 1)
b = (5 ± √(25 - 72)) / 2
b = (5 ± √(-47)) / 2
The square root of a negative number is not a real number, so the equation has no real solutions. Therefore, the value of b cannot be determined using the given values of a and c.