SOLUTION: find two onsecutive positive even numbers the sum of whose squares is 20.

Question 301438: find two onsecutive positive even numbers the sum of whose squares is 20.
Found 3 solutions by vleith, Alan3354, checkley77:
Answer by vleith(2983)   (Show Source): You can put this solution on YOUR website!
You can do a bunch of algebra to solve

Or you can use a little 'common sense' and realize
- number squared are always positive
- 20 is a small number (between 4^2 and 5^2
- so use trial and error with even numbers
Try 2 and 4
2^2 = 4
4^2 = 16
4+16= 20
done
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
2 & 4

Answer by checkley77(12844)   (Show Source): You can put this solution on YOUR website!
x^2+(x+2)^2=20
x^2+x^2+4x+4=20
2x^2+4x+4-20=0
2(x^2+2x-16)=0
2(x^2+2x-8)=0
2(x+4)(x-2)=0
x-2=0
x=2 ans.
2+2=4 ans.
Proof:
2^2+4^2=20
4+16=20
20=20
RELATED QUESTIONS
find the two consecutive positive even numbers the sum of whose squares... (answered by checkley77)
find two consecutive positive even numbers such that the sum of their squares is 164. (answered by Alan3354)
The sum of the squares of two consecutive positive even numbers is 20. What is the... (answered by stanbon)
Find 2 positive numbers whose sum is 20 such that the sum of their squares is a... (answered by Alan3354)
find the two consecutive positive even numbers the sum of whose squares 340.se[arate the... (answered by checkley77)
find two positive numbers whose sum is 324 and the sum of those squares is a... (answered by Fombitz)
TWO CONSECUTIVE POSITIVE EVEN INTEGERS ARE SUCH THE SUM OF THEIR SQUARES IS 164. FIND... (answered by mananth)
find two positive numbers whose squares have the sum of 85 and difference of... (answered by oberobic)
among all pairs of positive numbers whose sum is 14, find the smallest sum of... (answered by richwmiller)