Use inspection to solve the equation x2=36/169

Question

, then select the correct solution set below. If there are no real solutions, select “There are no real solutions.”(1 point)

Answer 1

To solve the equation $x^2=\frac{36}{169}$ by inspection, we can recognize that we want to find $x$ such that $x^2$ equals a specific value.

We can rewrite the equation as follows:

$$x=\sqrt{\frac{36}{169}}\text{or}x=-\sqrt{\frac{36}{169}}$$

Now, we can simplify the square root:

$$\sqrt{\frac{36}{169}}=\frac{\sqrt{36}}{\sqrt{169}}=\frac{6}{13}$$

Thus, the solutions to the equation are:

$$x=\frac{6}{13}\text{or}x=-\frac{6}{13}$$

So the complete solution set is:

$$\text{Missing or unrecognized delimiter for left}$$

Since we have found real solutions, we do not need to select "There are no real solutions." The correct solution set is:

$$\text{Missing or unrecognized delimiter for left}$$