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
