SOLUTION: Find two consecutive integers such that the sum of their squares is 85. Find all such integers.
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Question 680895: Find two consecutive integers such that the sum of their squares is 85. Find all such integers.
Answer by JBarnum(2146) (Show Source): You can put this solution on YOUR website!
The 2 consecutive numbers are x and x+1
So the question in words is the same as below equation:
Add and simplify
Subtract 1 from both sides
Divide by 2
Distribute
Subtract 42
Find 2 numbers that add together that get 1 and multiply to get -42
They are 7 and -6
X= -7 , 6
So 2 possible answers
(-7 and -6) or (6 and 7)
Check
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