Question

The sum of two numbers is 14 and their product is 45. Find their difference? ​

Answer 1

Answer: 4

Step-by-step explanation:

let the one number be x

and second number be y

given that

           x+y = 14  and xy = 45

we need to find x-y

⇒x(14-x) = 45

  -x^2 +14x = 45

or   x^2 -14x +45  = 0

   x^2 -9x -5x +45 = 0

  (x-9)(x-5) = 0

⇒ x = 5 , 9

thus for x = 5   , y will be 9

and for x = 9  ,  y will be  5    

in both case their difference would be 4  Ans.