Question

Solve the following equation algebraically:

2 x² = 50

a. plus-or-minus 0.2
b. plus-or-minus 7.07
c. plus-or-minus 5
d. plus-or-minus 12.5

please select the best answer from the choices provided a b c d

Answer 1

The algebraic solution to the equation 2x² = 50 is found by simplifying to x² = 25 and then taking the square root, yielding x = ± 5. Therefore, the correct answer is option c. plus-or-minus 5.

Step-by-step explanation:

To solve the equation 2x² = 50 algebraically, we can start by dividing both sides by 2 to get the simplified form of x² = 25. Applying the square root to both sides of the equation gives us x = ±√25. Since the square root of 25 is 5, our solution is x = ± 5.

The correct answer from the provided options is c. plus-or-minus 5.