Final answer:
The value that completes the perfect square trinomial is 49.
Step-by-step explanation:
To complete the perfect square trinomial, we need to take half of the coefficient of the x term, square it, and add it to the equation. In this case, the coefficient of the x term is -14. So, half of -14 is -7, and when we square -7, we get 49. Therefore, the value that completes the perfect square trinomial is 49.
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