Question

ch-Expansions
Q.If x-y=8 and xy=5,find x^2+y^2
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Answer 1

Answer:

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Answer 2

$\tt{xy = 5}$ ••••••(1)

$\tt{x - y = 8}$ •••••(2)

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Squaring both side in Equ-----(2)

$\green{(x - y)^2 = (8)^2}$

Using identity $\red{(a - b)^2 = a^2 + b^2 -2ab}$

we get

$\blue{x^2 + y^2 - 2xy = 64}$

$\blue{x^2 + y^2 -2(5) = 64}$ [From equ-----(1)]

$\blue{x^2 + y^2 -10 = 64}$

$\blue{x^2 + y^2 = 54}$ ...ans....