SOLUTION: what are 2 consecutive positive intergers such that the sum of their squares is 85?

SOLUTION: what are 2 consecutive positive intergers such that the sum of their squares is 85?

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Question 59539: what are 2 consecutive positive intergers such that the sum of their squares is 85?
Answer by Cintchr(481) (Show Source): You can put this solution on YOUR website!
x and x+1 are the integers

foil the binomial

combine like terms

subtract 85 from both sides

divide all parts by 2

factor

set each part equal to zero
and
and
The stipulation calls for only POSITIVE numbers

so ...

CHECK

TRUE!!!

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