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CBSE Class 11-science Answered

the roots of -18i
Asked by simrangurdasani05 | 17 Jul, 2022, 03:39: AM
Expert Answer
Let -18i = a + ib
L e t space square root of negative 18 i end root equals a plus i b
rightwards double arrow negative 18 i equals a squared minus b squared plus 2 i a b
C o m p a r i n g space r e a l space a n d space i m a g i n a r y space t e r m s space w e space g e t
a squared minus b squared equals 0 space space a n d space 2 a b equals negative 18 space rightwards double arrow space b equals negative 9 over a
rightwards double arrow a squared minus 81 over a squared equals 0
rightwards double arrow left parenthesis a squared minus 9 right parenthesis left parenthesis a squared plus 9 right parenthesis equals 0
rightwards double arrow a squared equals 9
rightwards double arrow a equals plus-or-minus 3
W h e n space a equals 3 space w e space g e t space b equals negative 3
W h e n space a equals negative 3 space w e space g e t space b equals 3
H e n c e comma space square root of negative 18 i end root equals plus-or-minus left parenthesis 3 plus 3 i right parenthesis
Answered by Renu Varma | 17 Jul, 2022, 09:40: PM
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