If x+iy= √a+ib/c+id (whole root),then write the value of (x^2-y^2)^2

 

Asked by azizrajil03 | 12th Apr, 2019, 07:34: AM

Expert Answer:

begin mathsize 16px style straight x plus iy equals square root of fraction numerator straight a plus ib over denominator straight c plus id end fraction space end root space then space straight x minus iy equals square root of fraction numerator straight a minus ib over denominator straight c minus id end fraction space end root
open parentheses straight x plus iy close parentheses open parentheses space straight x minus iy close parentheses equals square root of fraction numerator straight a plus ib over denominator straight c plus id end fraction cross times fraction numerator straight a minus ib over denominator straight c minus id end fraction space end root
straight x squared minus straight i squared straight y squared equals square root of fraction numerator straight a squared minus straight i squared straight b squared over denominator straight c squared minus straight i squared straight d squared end fraction space end root
straight x squared plus straight y squared equals square root of fraction numerator straight a squared plus straight b squared over denominator straight c squared plus straight d squared end fraction space end root space space space space space space space space space space space space space space straight i squared equals negative 1
open parentheses straight x squared plus straight y squared close parentheses squared equals fraction numerator straight a squared plus straight b squared over denominator straight c squared plus straight d squared end fraction




Note colon space
Please space check space the space quetsion space again. end style

Answered by Sneha shidid | 12th Apr, 2019, 09:31: AM