Question

Given that x - y = 8, xy = 5, find the value of x^2 + y^2?
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Answer 1

Answer:

74

Step-by-step explanation:

given:-

x-y=8

xy=5

to find

x^2+y^2

now apply

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

(8)2=x^2+y^2-2×5

64=x^2+y^2-10

74=x^2+y^2

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Answer 2

Step-by-step explanation:

taking square

(x-y)^2=(8)^2

x^2+y^2-2xy=64

x^2+y^2-2(5)=64

x^2+y^2-10=64

x^2+y^2=64-10

x^2+y^2=54