What are the solutions of the equation 2x ^ 2 = 2 ? Use a graph of a related function whose roots answer the question.

Question

(1 point)

y

10

5

Answer 1

The solutions of the equation 2x ^ 2 = 2 are x = 1 and x = -1.

Here is a graph of the related function y = 2x ^ 2 - 2:

y
|
10 -
| -
| -
| -
| -
5 - -
| - - *
| - -
| -
| -
0 - - - - - - - - - - - - - - - - - - - -
-5 -5 5

The graph intersects the x-axis at x = 1 and x = -1, which are the solutions to the equation 2x ^ 2 = 2.