Question 467653: I am thinking of two consecutive even integers. The sum of their squares is 340. what are the integers? PLEASE HELP! Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! I am thinking of two consecutive even integers. The sum of their squares is 340. what are the integers?
.
Let x = first of two consecutive even integers
then
x+2 = second even integer
.
x^2 + (x+2)^2 = 340
x^2 + (x+2)(x+2) = 340
x^2 + x^2+4x+4 = 340
2x^2+4x+4 = 340
x^2+2x+2 = 170
x^2+2x-168 = 0
(x+14)(x-12) = 0
x = {-14, 12}
.
solution:
the two integers are
12 and 14
or
-12 and -14
