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the sum of the squares of two positive integers is 183 if one integer is 3 less then the other, find the larger integer

User Jayesef
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Answer:

I believe the question is incorrect

Step-by-step explanation: 7 1 17 02

take the english statement and convert it to math

sum of the squares of two positive integers is 183 x² + y² = 183

one integer is 3 less than the other x = y - 3 x is three less than y

find the larger integer use the two equations to solve for y the larger number

x² + y² = 183 and x = y - 3

(y - 3)² + y² = 183

y² - 6y + 9 + y² = 183

2y² - 6y = 182 - 9

2y² - 6y = 173

2y² - 6y - 173 = 0

this equation does not result in an integer

2y² - 6y - 173 = 0

User Yung
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