Question

Find the value of: Escpress as a perfect square

x^2 + y^2 if x + y = 7 and xy = 10​

Answer 1

Answer:x^2 +y^2 =29

Step-by-step explanation:

Given that,

x+y=7

or, (x+y)^2=7^2 [Squaring on both sides]

or, x^2 + y^2 + 2xy = 49

or, x^2 + y^2 + (2*10) =49 [Since, xy = 10]

or, x^2 + y^2 + 20 = 49

or, x^2 + y^2 = 49 - 20

or, x^2 + y^2 = 29

Thus,

   x^2 + y^2 = 29