Solve x2=289

Question

by inspection. There are two real solutions. Enter the lesser number first.

Answer 1

To solve the equation \( x^2 = 289 \) by inspection, we recognize that we need to find the square roots of 289.

Calculating the square root:

\[ \sqrt{289} = 17 \]

Thus, the solutions to the equation \( x^2 = 289 \) are:

\[ x = 17 \quad \text{and} \quad x = -17 \]

To provide the answers in the requested order (lesser number first):

The two real solutions are:

\[ -17 \quad \text{and} \quad 17 \]