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Pani-rosa [81]
3 years ago
12

❤️❤️would appreciate help

Mathematics
2 answers:
Nitella [24]3 years ago
8 0
I got the answer of 62 :)
agasfer [191]3 years ago
4 0
62 I hope it helps thank you
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The sum of the squares of two consecutive integers is 145. Find the two integers.
worty [1.4K]

Answer: The two integers are 8 and 9.

Step-by-step explanation: Let n represent the number.

n^2 + (n + 1)^2 = 145

By foiling, this can be rearranged to:

n^2 + n^2 + 2n + 1 = 145

Subtract 145 from both sides:

2n^2 + 2n - 144 = 0

Divide both sides by 2:

n^2 + n - 72 = 0

Factor the polynomial:

(n + 9)(n - 8) = 0

Solve for n:

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Since they need to be consecutive, make the 9 positive. It will be positive either way because it is being squared.

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