Solve real-coefficient quadratic equations that have complex solutions.
Choose the most direct displayed-form method and solve
Problem
For \(x^{2}+25=0\), use its isolated-square structure to name the most direct method. Apply that method and report \(\text{both}~\text{complex}~\text{roots}\).
Big Picture
What this problem is really about
The displayed structure should guide the most efficient valid method. We’ll notice the absent linear term, isolate the square in one step, take both complex roots, simplify the negative radical, and verify the pair while explaining why a longer general formula is unnecessary.
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