Question

solve:-
1-
${x }^{2} + {y}^{2}$
if :-
$x + y = 11$
and
$xy = 6$
2-
${x}^{2} + {y}^{2}$
if :-
$x - y = - 7$
and
$xy = - 4$
​

Answer 1

Answer:

(i) x² + y²

= (x + y)² – 2xy

= 11² – 2×6

= 121 – 12

= 109

(ii) x² + y²

= (x – y)² + 2xy

= (–7)² + 2×(–4)

= 49 + (–8)

= 49 – 8

= 41

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