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What number can be added to complete the square x2 plus 10x equals 14?
Wiki User
∙ 12y ago
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
Wiki User
∙ 12y ago
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