SOLUTION: The product of two consecutive even integers is 76 more than 2 times their sum. Find these two positive integers

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: The product of two consecutive even integers is 76 more than 2 times their sum. Find these two positive integers      Log On


   



Question 344737: The product of two consecutive even integers is 76 more than 2 times their sum. Find these two positive integers
Answer by user_dude2008(1862) About Me  (Show Source):
You can put this solution on YOUR website!
x(x+2)=2(x+x+2)+76

x^2+2x=2x+2x+4+76

x^2+2x=4x+80

x^2+2x-4x-80=0

x^2-2x-80=0

(x-10)(x+8)=0

x-10=0 or x+8=0

x=10 or x=-8

Numbers: 10, 12