if (x/y) whole raise to the power 4 + (y/x) whole raise to the power 4 =47 then route of x/y +routeof y/x=?
 

Asked by Ashwnikumar | 29th Oct, 2015, 08:24: AM

Expert Answer:

begin mathsize 11px style open parentheses straight x over straight y close parentheses to the power of 4 plus open parentheses straight y over straight x close parentheses to the power of 4 equals 47 rightwards double arrow open square brackets open parentheses straight x over straight y close parentheses squared plus open parentheses straight y over straight x close parentheses squared close square brackets squared minus 2 open parentheses straight x squared over straight y squared close parentheses open parentheses straight y squared over straight x squared close parentheses equals 47 rightwards double arrow open square brackets open parentheses straight x over straight y plus straight y over straight x close parentheses squared minus 2 open parentheses straight x over straight y close parentheses open parentheses straight y over straight x close parentheses close square brackets squared minus 2 equals 47 rightwards double arrow open square brackets open parentheses straight x over straight y plus straight y over straight x close parentheses squared minus 2 open parentheses straight x over straight y close parentheses open parentheses straight y over straight x close parentheses close square brackets squared equals 49 rightwards double arrow open parentheses straight x over straight y plus straight y over straight x close parentheses squared minus 2 equals plus-or-minus square root of 49 rightwards double arrow open parentheses straight x over straight y plus straight y over straight x close parentheses squared equals 2 plus-or-minus 7 rightwards double arrow straight x over straight y plus straight y over straight x equals square root of 2 plus 7 end root space left parenthesis only space taking space positive space since space the space term space under space square space root space can space not space be space negative right parenthesis rightwards double arrow straight x over straight y plus straight y over straight x equals 3 rightwards double arrow square root of straight x over straight y plus straight y over straight x end root equals square root of 3 end style

Answered by satyajit samal | 29th Oct, 2015, 12:44: PM

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