Solve x2=78 by inspection. There are two real solutions. Enter the lesser number first, and use exponents in your responses.

Answer 1

To solve the equation \( x^2 = 78 \) by inspection, we need to find the square roots of 78.

The two real solutions are:

1. \( x = \sqrt{78} \)
2. \( x = -\sqrt{78} \)

Since we need to enter the lesser number first, the solutions are:

\[ -\sqrt{78}, \quad \sqrt{78} \]

Thus, the answer is \( -78^{1/2}, \quad 78^{1/2} \).