SOLUTION: the sum of the squares of two consecutive natural numbers is 61
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Question 450356
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the sum of the squares of two consecutive natural numbers is 61
Answer by
jorel1380(3719)
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x2+(x+1)2=61
x2+x2+2x+1=61
2x2+2x=60
x2+x-30=0
(x+6)(x-5)=0
x=-6 or 5
The two numbers are 5 and 6..