Question
Tue March 03, 2015 By: Surajsubedi14

, Question no 88943, Mathematics

Expert Reply
Prasenjit Paul
Tue March 03, 2015
left parenthesis p plus i q right parenthesis cubed equals p cubed minus i q cubed plus 3 i p squared q minus 3 p q squared left parenthesis p plus i q right parenthesis cubed equals x minus i y p cubed minus i q cubed plus 3 i p squared q minus 3 p q squared equals x minus i y p cubed minus 3 p q squared plus i left parenthesis 3 p squared q minus q cubed right parenthesis therefore p cubed minus 3 p q squared equals x rightwards double arrow x over p equals p squared minus 3 q squared.... left parenthesis i right parenthesis 3 p squared q minus q cubed equals negative y rightwards double arrow y over q equals q squared minus 3 p squared...... left parenthesis i i right parenthesis left parenthesis i right parenthesis plus left parenthesis i i right parenthesis comma x over p plus y over q equals negative 2 p squared minus 2 q squared open parentheses x over p plus y over q close parentheses. fraction numerator 1 over denominator p squared plus q squared end fraction equals negative 2
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