Question

Solve x squared = 16/25 by inspection there are two real solutions enter the lesser number first please answer in simplest form

Answer 1

To solve the equation \( x^2 = \frac{16}{25} \) by inspection, we can take the square root of both sides.

The square roots of \( \frac{16}{25} \) are:

\[
x = \pm \sqrt{\frac{16}{25}} = \pm \frac{\sqrt{16}}{\sqrt{25}} = \pm \frac{4}{5}
\]

Thus, the two real solutions are \( \frac{4}{5} \) and \( -\frac{4}{5} \).

To answer the question in simplest form, we list the lesser number first:

\[
-\frac{4}{5}, \frac{4}{5}
\]