Product of two consecutive integers is 11 more than their sum. Find them

Question

quadratic equation problem.

Answer 1

x(x+1) = [x + (x+1) + 11]

 

x² + x = x + x + 1 + 11

 

x² - x - 12 = 0

 

(x - 4)(x + 3) = 0

 

The numbers are 4 and 5