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Instructions: Find the value of c𝑐 that completes the square and creates a perfect square trinomial. x2+12x+c

Question

Instructions: Find the value of c𝑐 that completes the square and creates a perfect square trinomial. x2+12x+c

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Solution

To find the value of c that completes the square and creates a perfect square trinomial, you need to follow these steps:

  1. Identify the coefficient of the x term, which is 12 in this case.
  2. Divide this coefficient by 2. So, 12/2 = 6.
  3. Square the result. So, 6^2 = 36.

Therefore, the value of c that completes the square and creates a perfect square trinomial is 36.

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