2. Solve x2=289

Question

by inspection. There are two real solutions. Enter the lesser number first.(2 points)
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Answer 1

To solve the equation \( x^2 = 289 \) by inspection, we need to find the values of \( x \) that satisfy this equation.

Taking the square root of both sides, we find: \[ x = \pm \sqrt{289} \] Calculating the square root: \[ \sqrt{289} = 17 \] Thus, the two solutions are: \[ x = 17 \quad \text{and} \quad x = -17 \]

Since we need to enter the lesser number first, the solutions are: \[ {-17, 17} \]