the product of two consecutive positive integers is 156 find the numbers

Question

Problems Involving Quadratic Equations 

Answer 1

x(x + 1) = 156

x² + x = 156

x² + x - 156 = 0

(x + 13)(x - 12) = 0

 

x + 13 = 0

x = -13

Not positive, so we disregard this answer.

 

x - 12 = 0

x = 12

 

12 + 1 = 13

 

12 and 13