Find the value of c that makes p squared + 18p + c a perfect square
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Find the value of c that makes p squared + 18p + c a perfect square

[From: ] [author: ] [Date: 12-04-23] [Hit: ]
and (p + 9)² = p² + 18p + 81, a perfect square.......
i would like for you to explain it to me, all answers would be appreciated.

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81.

Easiest way to find the perfect square. Use the middle one and divide by 2. In this case, 18. 18 divide by 2 is 9. 9^2 is 81

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Hi, John!

Remember, that (a + b)² = a² + 2ab + b². So, if "p² + 18p + x," is a perfect square, then:

18p = 2px.

Solving for x,
x = 9.

Set c=x², and we have c = 81, and (p + 9)² = p² + 18p + 81, a perfect square.

Answer:
c = 81
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