The sum of the squares of two positive integers is 117. If the square of the smaller number
equals four times the larger number, find the integers.
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Answer:
Let x be one integer and y be another.
therefore x2=4y
Now,
x2+y2=117
x2=117-y2
117-y2=4y(sincex2=4y)
y2+4y-117=0
y2+13y-9y-117=0
y(y+13)-9(y+13)=0
y=9 or y=-13
since y cannot be negative y=9
integers are y=9
and x2/4=9
or x2=9*4
or x= root 36
or x=6
hope you got it!!!
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