SOLUTION: Can you please help me find two consecutive positive integers that the sum of their squares is 85.

Algebra.Com
Question 7575: Can you please help me find two consecutive positive integers that the sum of their squares is 85.
Answer by ichudov(507)   (Show Source): You can put this solution on YOUR website!
Consecutive integers: x, x+1. Sum of their squares equal 85:

Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=6,x=-7.
  • Graphical form: Equation was fully solved.
  • Text form: x^2+(x+1)^2=85 simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( x^2+(x+1)^2=85 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Moved these terms to the left highlight_green%28+-85+%29
It becomes .
Look at .
Equation highlight_red%28+x%5E2%2B%28x%2B1%29%5E2-85=0+%29 is a quadratic equation: 2*x^2+2*x-84 =0, and has solutions 6,-7
It becomes .
Result:
This is an equation! Solutions: x=6,x=-7.

Universal Simplifier and Solver


Done!


-7 is not positive, so the solution that we are allowed to have is x=6, the next integer is 7. 6,7
RELATED QUESTIONS

Can someone please help me figure this out? Find two consecutive positive integers (answered by jai_kos)
Find two consecutive positive integers such that the sum of their squares is 85. Thank (answered by Nate)
Could someone please help me with this equation. Find two consecutive positive integers... (answered by edjones)
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)
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)