Solve x2= 25/64

Question

by inspection. There are two real solutions. Enter the lesser number first. Leave the answers in simplest fraction form.

Answer 1

To solve the equation $x^2=\frac{25}{64}$ by inspection, we need to find the values of $x$ that satisfy this equation.

We can rewrite the equation as:

$$x=\pm \sqrt{\frac{25}{64}}$$

Calculating the square root:

$$\sqrt{\frac{25}{64}}=\frac{\sqrt{25}}{\sqrt{64}}=\frac{5}{8}$$

This gives us two solutions:

$$x=\frac{5}{8}\text{and}x=-\frac{5}{8}$$

Thus, the two real solutions, with the lesser number first, are:

$$-\frac{5}{8},\frac{5}{8}$$