Question

X2+y2=29, xy=2, find the value of x-y

Answer 1

(x-y)2 = X2+ Y2- 2XY
(x-y)2 = 29-2×2
(x-y)2= 25
(x-y) = √25
(x-y) = 5

Answer 2

Hope u like my process
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Formula to be used
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$= > \bf \: {(x - y)}^{2} = {x}^{2} + {y}^{2} - 2xy \\ \\ or. \: (x - y) = \sqrt{ {x}^{2} + {y}^{2} - 2xy }$

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Given :-
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=> x² + y² = 29

=> xy = 2
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So,

$= > \bf \: (x - y) = \sqrt{ {x}^{2} + {y}^{2} - 2xy } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{29 - 2(2)} = \sqrt{29 - 4} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \bf \: \sqrt{25} = 5$

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