Question

Evaluate x 2 + y 2 if x+y = 7 and xy =10

Answer 1

Answer:

we have to find  

x^2 + y^2 , x+y = 7 & x y = 10

we know that

( a + b )^2 = a^2 b^2 + 2 a b

a^2 + b^2 =(a+b)^2-2ab

here,a=x and b=y

therefore,

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

             =(7)^2-2*10

             =49-20

             =29

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