Question

write a pair of integer whose product is 36 and difference is -13

Answer 1

Let the integers be a and b.

According to the Question,

a - b = -13   
a = b - 13             ...............(i)

Also, 
ab = 36                 ...............(ii)

Putting value of a from (i) in (ii),

(b-13) b = 36
b² - 13b - 36 = 0
b² - 9b - 4b - 36 =0
b (b - 9) - 4 (b-9) = 0