SOLUTION: there are three consecutive even integers. the square of the first number is six less than 5 times the sum of the second and third. what are the three numbers. there are 2 sets of

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: there are three consecutive even integers. the square of the first number is six less than 5 times the sum of the second and third. what are the three numbers. there are 2 sets of       Log On


   



Question 986733: there are three consecutive even integers. the square of the first number is six less than 5 times the sum of the second and third. what are the three numbers. there are 2 sets of 3 numbers give both

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
x is the first, x+2 and x+4 are the others,
x^2+6=5(2x+6)
x^2+6=10x+30
x^2-10x-24=0
(x-12)(x+2)=0
12,14,16 ;; 144=150-6
-2,0,2;;4=10-6