Question

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

Answer 1

Answer:

=x(14-x)=45

=14x-x2=45

=-x2+14x-45=0

=-x2+9x+5x-45

=-x(x-9)+5(x-45)

=(x-9)+(-x+5)

so,the value of first no.is x=9

and the value of second no. is x=5

Answer 2

Answer:

let the two numbers ne X and y

x×y=45

x+y=14

x=14-y

put this in first equation

(14-y)×y=45

y^2-9y-45=0

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

y=9 or 5

put value in first equation

so numbers= 5 and 9