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Find the value of c that makes the trinomial a perfect square. x2+26x+c

Question

Find the value of c that makes the trinomial a perfect square. x2+26x+c

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Solution

To make the trinomial a perfect square, the value of c should be the square of half the coefficient of the x term.

Step 1: Identify the coefficient of the x term. In this case, it is 26.

Step 2: Divide this coefficient by 2. So, 26/2 = 13.

Step 3: Square the result from step 2. So, 13^2 = 169.

Therefore, the value of c that makes the trinomial x^2 + 26x + c a perfect square is 169.

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