I f space left parenthesis p plus i q right parenthesis cubed equals x minus i y comma space t h e space f i n d space t h a space v a l u e space o f open parentheses x over p plus y over q close parentheses. fraction numerator 1 over denominator p squared plus q squared end fraction.

Asked by surajsubedi14 | 3rd Mar, 2015, 10:16: AM

Expert Answer:

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

Answered by Prasenjit Paul | 3rd Mar, 2015, 11:45: AM