Question

For what numbers x does 2x² = 1? For what numbers x does 1 = x?

Answer 1

The values of x that satisfy the equation 2x² = 1 are x = √(1/2) and x = -√(1/2). The solution to the equation 1 = x is x = 1.

Step-by-step explanation:

To find the values of x that satisfy the equation 2x² = 1, we need to solve for x. Let's solve for x step by step:

1. Divide both sides of the equation by 2:
   x² = 1/2
2. Take the square root of both sides:
   x = ±√(1/2)

So, the values of x that satisfy the equation 2x² = 1 are x = √(1/2) and x = -√(1/2).

For the equation 1 = x, the value of x is simply 1. Therefore, x = 1 is the solution to the equation 1 = x.