SOLUTION: Find the value of c such that z^2 + 10z + c is a perfect square.

SOLUTION: Find the value of c such that z^2 + 10z + c is a perfect square.

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Question 84870: Find the value of c such that z^2 + 10z + c is a perfect square.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
To find c, simply take half of 10 and square it like this:

So c=25. Notice if we have

it factors to

which shows it's a perfect square.
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