SOLUTION: TWO CONSECUTIVE POSITIVE EVEN INTEGERS ARE SUCH THE SUM OF THEIR SQUARES IS 164. FIND THE TWO NUMBERS.

Algebra ->  Finance -> SOLUTION: TWO CONSECUTIVE POSITIVE EVEN INTEGERS ARE SUCH THE SUM OF THEIR SQUARES IS 164. FIND THE TWO NUMBERS.      Log On


   

Question 1204206: TWO CONSECUTIVE POSITIVE EVEN INTEGERS ARE SUCH THE SUM OF THEIR SQUARES IS 164. FIND THE TWO NUMBERS.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
TWO CONSECUTIVE POSITIVE EVEN INTEGERS ARE SUCH THE SUM OF THEIR SQUARES IS 164. FIND THE TWO NUMBERS.
let one even number be x
the other even number will be (x+2)
x^2+(x+2)^2=164
x^2+x^2+4x+4=164
2x^2+4x-160=0
2(x^2+2x-80)=0
x^2+2x-80=0
x^2+10x-8x-80=0
x(x+10)-8(x+10)= 0
(x+10)(x-8)=0
x=-10 OR x=8
8 & 10 are the positive even integers