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?
Answers
Answered by
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
Answered by
0
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
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