Question

sum of two numbers are 14 and their product is 45 find the numbers​

Answer 1

Answer:

5 and 9

Step-by-step explanation:

let the numbers be x and y

x + y = 14

x = 14 - y            ---- 1

and

xy = 45

from 1

(14 - y)y = 45

14y - y² = 45

y² - 14y + 45 = 0

y² - 9y - 5y + 45 = 0

y(y-9) -5(y-9)=0

y=9 or y=5

x = 14-y = 14 - 9  = 5

x = 14-y = 14 - 5 = 9

∴ the two numbers are 5 and 9