SOLUTION: Find two consecutive positive integers such that the sum of their square is 85.
Your help will be very appreciated!
Thanks so much!
ac
Algebra.Com
Question 59202: Find two consecutive positive integers such that the sum of their square is 85.
Your help will be very appreciated!
Thanks so much!
ac
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let the consecutive integers equal x and x+1
This can be solved either by the quadratic formula
of by completing the square. I'll complete the square
subtract 1 from both sides
divide both sides by 2
to complete the square, take one-half of the coeffecient
of x, square it, and add it to both sides
Half of 1 is 1/2 and (1/2)^2 = 1/4
and
The problem wants 2 consecutive POSITIVE integers, so I'll
pick x = +6
The answers are +6 and +7
check:
OK
RELATED QUESTIONS
Find two consecutive positive integers such that the sum of their square is... (answered by stanbon)
find two consecutive positive integers such that the sum of their square is... (answered by stanbon)
find two consecutive positive integers such that the sum of their square is... (answered by checkley75)
Number Problem. Find two consecutive positive integers such that the sum of their square... (answered by timmy1729,bucky)
Number problems. Find two consecutive positive integers such that the sum of
their... (answered by ankor@dixie-net.com)
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)