SOLUTION: Find two consecutive positive integers such that the sum of their squares is 85.
Algebra.Com
Question 115425: Find two consecutive positive integers such that the sum of their squares is 85.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
You are off to a good start, but have some errors in your work
You have the correct equation. So let's start there
Foil
Subtract 85 from both sides
Combine like terms
Factor the left side (note: if you need help with factoring, check out this solver)
Now set each factor equal to zero:
or
or Now solve for x in each case
So our answer is
or
So if , then the first number is -7. Now let's find the second number
So the second number is -6
So one pair of numbers is -7, -6
----------------------------------
Now if , then the first number is 6. Now let's find the second number
So the second number is 7
So another pair of numbers is 6,7
---------------------------------------
Answer:
This means the two numbers are either 6, 7 OR the two numbers -7,-6
RELATED QUESTIONS
Find two consecutive positive integers such that the sum of their squares is 85. (answered by xcentaur)
Find two consecutive positive integers such that the sum of
their squares is... (answered by Nate)
Find two consecutive positive integers such that the sum of their squares is... (answered by checkley71)
Number problems. Find two consecutive positive integers such that the sum of their... (answered by checkley75)
Find two consecutive positive integers such that the sum of their squares is 85.
Thank (answered by Nate)
Number problems. Find two consecutive positive integers such that the sum of
their... (answered by jim_thompson5910)
Number problems. Find two consecutive positive integers such that the sum of their... (answered by Adam,bucky)
Find two consecutive positive integers such that the sum of
their squares is 85.
(answered by jim_thompson5910)
Number problems. Find two consecutive positive integers such that the sum of their... (answered by ganesh)