Question

One question has last part like difference between two terms is 9 and product of two numbers is 14, what is the squares of sum of numbers?​

Answer 1

Answer:

137

Step-by-step explanation:

Let the two numbers be x and y.

Then ,

x-y=9 and xy=14

(x-y)^2 = x^2 + y^2 - 2xy

=> x^2 + y^2 = (x-y)^2 + 2xy = 9^2 + 2×14

=> x^2 + y^2 = 109

Now,

Square of the sum of x and y = (x+y)^2

=(x^2 + y^2) + 2xy

=109 + 2×14

=137

Answer 2

Answer:

109.

Step-by-step explanation:

x-y=9

xy=14

x^2+y^2=(x-Y)^2+2xy

=(9)^2+2(14)=81+28=109

because (x-y)^2=x^2+y^2-2xy