Question

Solve the following equation algebraically: 2x²= 50

a. x=±0.2
b. x=±7.07
c. x=±5
d. x=±12.5

Answer 1

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.