What is the missing constant term in the perfect square that starts with x^2+14xx 2 +14xx, squared, plus, 14, x ?

Question

What is the missing constant term in the perfect square that starts with x2+14xx, squared, plus, 14, x ?

Answer 1

Do you mean x^2 + 14x ?

To complete the square you divide the center term by 2, and square the result. So:

If it's x^2 + 14x = 0

Add 49 to both sides:

x^2 + 14x + 49 = 49

(x + 7)^2 = 49

x + 7 = ±7

x = - 7 ±7 = 0, -14

Answer 2

If the expression is x² + 14x, then, to complete the square, add [(1/2)(14)]² = 7² = 49.

x² + 14x + 49 = (x + 7)²