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What can you add to x2 + 5x + ___ to get a perfect square trinomial?

Question

What can you add to x2 + 5x + ___ to get a perfect square trinomial?

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Solution

To make x^2 + 5x + ___ a perfect square trinomial, you need to find the square of half the coefficient of the x term.

Step 1: Identify the coefficient of the x term, which is 5 in this case.

Step 2: Divide this coefficient by 2. So, 5/2 = 2.5.

Step 3: Square the result from step 2. So, (2.5)^2 = 6.25.

Therefore, you can add 6.25 to x^2 + 5x to get a perfect square trinomial. The perfect square trinomial is then (x + 2.5)^2.

This problem has been solved

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