Question

Given (x – 1)² = 50, select the values of x.

A) x = –49
B) x = 51
C) x = 1 ± √50
D) x = 0

Answer 1

The values of x in the equation (x – 1)² = 50 are x = 1 ± √50.

Step-by-step explanation:

To solve the equation (x – 1)² = 50, we can take the square root of both sides to remove the exponent. This gives us x - 1 = ±√50. Next, we can simplify this equation by taking the square root of 50, which is √50 = 5√2. So, we have x - 1 = ±5√2. Finally, we can solve for x by adding 1 to both sides: x = 1 ± 5√2. Therefore, the values of x are C) x = 1 ± √50.