The difference between two numbers is 9 and the product of the numbers is 162. find the two numbers

Let the no be X and Y

acc to ques

x-y=9 1

xy=162 2

substituting value from 1 in 2 we get;

x=9+y

[9+y][y] = 162

y^2+9y = 162

y^2 + 9y - 162=0

y^2 + 18y - 9y - 162=0

y[y+18] + 9[y+18]=0

[y+9][y+18}

y= -93

y= -184

case 1 :

y= -9

x = 9-9=0

case 2:

y= -18

x= 9-18 = -9

11/2.2 = 5 inches for the length 8.5/2.2= 3.86 inches for the width