Question

find two consecutive positive integers such that the sum of their squares is 61?????

Answer 1

61+n+n+1 ???

Answer 2

the 2 numbers can be represented by x and x+1
x^2+(x+1)^2=61

Answer 3

30 & 31?

Answer 4

the sum of their squares is 31, not the sum of the numbers

Answer 5

x^3+2=61

Answer 6

x^2+(x+1)^2=61
x^2+x^2+2x+1=61
2x^2+2x+1=61
2x^2+2x-60=0
x^2+x-30=0
(x+6)(x-5)=0
x=-6,5
you want the positive x here
so the first number is 5, the second number is 6
5^2+6^2=61
25+36=61
61=61

Answer 7

thank you