Question 148007
If the product of two consecutive even integers is 34 larger than their sum, then what are the integers?
;
x(x+2) = x + (x+2) + 34
:
x^2 + 2x = 2x + 36
:
x^2 + 2x - 2x - 36 = 0
:
x^2 - 36 = 0
Factors to:
(x-6)(x+6) = 0
:
x = +6
and
x = -6
:
integers are; 6,8 and -6,-4