Final answer:
In the quadratic equation m² + 50m - 294 = 0, the value of (b/2)² is found by halving the coefficient of m, which is 50, getting 25 and then squaring it to obtain 625.
Step-by-step explanation:
The question asks for the value of (b/2)² in the quadratic equation m² + 50m - 294 = 0. Here, the equation has the form am² + bm + c = 0, where a = 1, b = 50, and c = -294. To find the value of (b/2)², first divide b, which is 50, by 2 to get 25, and then square that number to get 625. Therefore, the value of (b/2)² in the given quadratic equation is 625.