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Add 4 to both sides.

To complete the square, take half the x coefficient into the bracket:

(x + 4/2)2 = (x + 2)2

= x2 + 4x + 4

Comparing with the original, need to add 4 to both sides of x2 + 4x = 5:

(x2 + 4x) + 4 = (5) + 4

⇒ x2 + 4x + 4 = 9

⇒ (x + 2)2 = 9

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Q: What number must you add to complete the square x2 plus 4x equals 5?
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