Question

If the product of two consecutive numbers is 1337, then the smaller one is

Answer 1

Answer:

Step-by-step explanation:

Let the smaller number be x

Then the next consecutive number will be (x-1)

According to the given question

Product if these two numbers is 1337

I.e.  x(x-1)=1337

      x^2-x-1337=0

Solving the quadratic gives the roots as

x= (-b +- root(D))/2a

where

D= b^2-4ac

a=1

b=-1

c=-1337

therefore, x = 37.0684  or −36.0684