SOLUTION: Find two consecutive positive integers such that the sum of their squares is 85.
Please show work.
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Question 74285: Find two consecutive positive integers such that the sum of their squares is 85.
Please show work.
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
Find two consecutive positive integers such that the sum of their squares is 85.
:
Let the 1st number be: x
Then the next consecutive number is: x+1
sum means: +
Squares means: ^2
is means: =
x+7=0 or x-6=0
x+7-7=0-7 or x-6+6=0+6
x=-7 or x=6
We are only interested in positive integers, so throw out the -7.
The first integer is: x=6
The second integer is: x+1=6+1=7
:
Sanity Check:
If you added their squares would you get 85?
We seem to be on the right track.
Happy Calculating!!!!
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