SOLUTION: Find two consecutive positive integers such that the sum of their squares is 85. Can anyone tell me if I'm right?
I am coming up with 6 and 7 - is this correct?
Thanks!
Algebra.Com
Question 41403: Find two consecutive positive integers such that the sum of their squares is 85. Can anyone tell me if I'm right?
I am coming up with 6 and 7 - is this correct?
Thanks!
Answer by rajagopalan(174) (Show Source): You can put this solution on YOUR website!
you are absolutely right.
let first number be x
let next number be x+1
sum of squars of these 2 = x^2+x^2+2x+1 = 85
2x^2+2x+1=85
2x^2+2x =85-1
2x^2+2x =84
divide by 2 thro out
x^2+x=42
x^2+x-42=0
x^2+7x-6x-42=0
x(x+7)-6(x+7)=0
(x-6)(x+7)=0
x=6 0r -7
deleting negative answer
we get the numbers as 6 and 7.
cheers
RELATED QUESTIONS
Find two consecutive positive integers such that the sum of
their squares is 85.
I... (answered by fractalier)
Where do I start?
Find two consecutive positive integers such that the sum of their... (answered by adamchapman)
how do i find two consecutive positive integers such that the sum of their squares is... (answered by stanbon,sprolden)
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)