Solve x^2 =16/25 by inspection

Answer 1

To solve the equation \( x^2 = \frac{16}{25} \) by inspection, we can look for values of \( x \) that, when squared, equal \( \frac{16}{25} \).

We know that:

\[ x^2 = \frac{16}{25} \quad \implies \quad x = \pm \sqrt{\frac{16}{25}} \]

Calculating the square root:

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

Thus, the solutions for \( x \) are:

\[ x = \frac{4}{5} \quad \text{and} \quad x = -\frac{4}{5} \]

So, the solutions to the equation \( x^2 = \frac{16}{25} \) are:

\[ x = \frac{4}{5} \quad \text{or} \quad x = -\frac{4}{5} \]