Question

Solve the following equation algebraically: 2x²=50.

A) ±0.2
B) ±7.07
C) ±5
D) ±12.5

Answer 1

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.