SOLUTION: Find 2 consecutive even numbers such that three times the square of the smaller one added to the square of the greater one equals 84.

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: Find 2 consecutive even numbers such that three times the square of the smaller one added to the square of the greater one equals 84.      Log On


   

Question 301655: Find 2 consecutive even numbers such that three times the square of the smaller one added to the square of the greater one equals 84.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let N and N+2 be your consecutive even numbers.
N is the smaller one.
3N%5E2%2B%28N%2B2%29%5E2=84
3N%5E2%2B%28N%5E2%2B4N%2B4%29=84
4N%5E2%2B4N-80=0
N%5E2%2BN-20=0
%28N%2B5%29%28N-4%29=0
Two solutions:
N%2B5=0
N=-5
Although it solves the equation, it's not even.
So it it not a solution.
.
.
N-4=0
N=4
THe two numbers are 4 and 6.