Given $(x^{2}+y^{2})$=74 and xy =35, find the value of:

a) x+y

b) x-y


Given $(x^{2} + y^{2})$ = 74; xy = 35


To find: 

a) $x+y$

b)$x-y$


Solution:

a)

$(x + y ) ^ {2} = x^{2} + y^{2} + 2xy$

= $74 + 2(35)$

= $74 + 70 = 144$

So $x + y$ = 12 or -12

b)

$(x - y ) ^ {2} = x^{2} + y^{2} - 2xy$

= $74 - 2(35) = 74 - 70 = 44$

$x - y$ = 2 or -2

Updated on: 10-Oct-2022

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