Solve x^2=16/25 by inspection. There are two real solutions. Enter the lesser number first. Leave the answers in simplest fraction form.

1 answer

To solve the equation x^2 = 16/25 by inspection, we can take the square root of both sides:

|x| = sqrt(16/25)
|x| = 4/5

Taking the square root of a number results in both a positive and negative solution. Therefore, we have two possible values for x:

x = 4/5 or x = -4/5

The lesser number is -4/5, so the solutions in simplest fraction form are:

-4/5, 4/5