Final answer:
To solve the equation 2x² = 50a algebraically, divide both sides by 2, take the square root, and find two possible solutions: x = ±√(25a).
Step-by-step explanation:
To solve the equation 2x² = 50a algebraically, we can divide both sides by 2 to get x² = 25a. Then, we can take the square root of both sides to solve for x.
Since the equation is quadratic, we have two possible solutions: x = ±√(25a). Therefore, the correct answer is d. x = ±12.5.