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9 needs to be added to complete the square.

When squaring (x + n), the result is x2 + 2nx + n2.

We have +10x, so n must be 10/2 = 5.

Thus: (x + 5)2 = x2 +10x + 25 = x2 +10x + 14 + 9

So 9 needs to be added to complete the square, giving:

x2 +10x + 14 = (x + 5)2 - 9

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13y ago

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