SOLUTION: Find two consecutive positive integers such that the sum of their squares is 61.

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Question 480369: Find two consecutive positive integers such that the sum of their squares is 61.
Found 3 solutions by wilft1, Alan3354, amalm06:
Answer by wilft1(217) About Me  (Show Source):
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
61/2 = 30.5
sqrt%2830.5%29+=+5.522 the middle
5 & 6

Answer by amalm06(224) About Me  (Show Source):
You can put this solution on YOUR website!
x^2+(x+1)^2=61

x^2+x^2+2x+1=61

2x^2+2x-60=0

x^2+x-30=0

(x-5)(x+6)=0

x=5,6 (Answer)