The product of two consecutive positive integers is 11 more than their sum. find integers

So, it's 4 and 5.

We will call N the first consecutive positive integer.

Then

N(N + 1) = N + (N +1) +11

N² +N = N + N +1 +11 = N² +N = 2N +12

N² + N - 2N -12 = 0

N² - N - 12 = 0

We only need positive integers, then

then N = (1 + 7)/2 = 8/2 = 4

and N + 1 = 4 + 1 = 5

ANSWER two positive consecutive integers are 4 and 5

checking

4*5 = 4+5 +11

20 = 9 +11 = 20 match!!

765238725478629038640962136509762139056074

step-by-step explanation:

64087235609746097215074621039754021037