2. Solve x2=289

Question

2
=
289
by inspection. There are two real solutions. Enter the lesser number first.(2 points)
{,}

Answer 1

To solve the equation \( x^2 = 289 \) by inspection, we can take the square root of both sides.

Taking the square root of both sides gives us:

\[ x = \pm \sqrt{289} \]

Calculating the square root of 289:

\[ \sqrt{289} = 17 \]

Thus, the two solutions are:

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

Since the problem requests you to enter the lesser number first, the solutions are:

\[ {-17, 17} \]