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Which number would have to be added to “complete the square”

Which number would have to be added to “complete the square”-example-1

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Answer:

x² + 5x + 1 = 0

x² + 5x + 2.5² = -1 + 2.5²

(x + 2.5)² = 5.25

The number is 2.5² = 6.25.

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