Final answer:
To solve the equation 2x² = 50, divide by 2 to get x² = 25, and then take the square root of both sides to find x = ± 5, which is answer choice C.
Step-by-step explanation:
The student asked to solve the equation 2x² = 50 algebraically. To do this, we first divide both sides of the equation by 2 to isolate the x² term:
x² = ²²/2
x² = 25
Then we take the square root of both sides of the equation to solve for x. Since the square root has both a positive and negative value, we write:
x = ±√25
x = ± 5
Therefore, the solution to the equation 2x² = 50 is ± 5, which corresponds to answer choice C.