SOLUTION: This is a word problem involving radicals. I've answered this type of problem in different ways, but I'm not sure how to do this with squares involved. Find two consecutive po

Algebra ->  Radicals -> SOLUTION: This is a word problem involving radicals. I've answered this type of problem in different ways, but I'm not sure how to do this with squares involved. Find two consecutive po      Log On


   

Question 49034This question is from textbook Beginning Algebra
: This is a word problem involving radicals. I've answered this type of problem in different ways, but I'm not sure how to do this with squares involved.

Find two consecutive positive integers such that the sum of their squares in 85. This question is from textbook Beginning Algebra

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
first integer = i
second integer = i + 1
Equation: %28i%29%5E2+%2B+%28i+%2B+1%29%5E2+=+85
i%5E2+%2B+i%5E2+%2B+2i+%2B+1+=+85
2i%5E2+%2B+2i+-+84+=+0
i%5E2+%2B+i+-+42+=+0
%28i+%2B+7%29%28i+-+6%29+=+0
i = -7 and i = 6
Six is the only positive number:
first integer = i = 6
second integer = i + 1 = 7
6 and 7