Question 266102
: the product of two consecutive positive even integers is 14 more than their sum. find the integers
:
x(x+2) = x + (x+2) + 14
:
x^2 + 2x = 2x + 16
:
Subtract 2x from both sides
x^2 = 16
x = {{{sqrt(16)}}}
x = 4
;
;
Check solution
4(6) = 4 + 6 + 14
24 = 24