A complex number w is such that ww* - 16√√3i+ 8iw = 0 and Im(w) <5, where w* is the conjugate of w. (i) (ii) (11) Find w in the form x + yi, where x, y e Find the integer values of n such that w" is rea ready 21 Evaluate 1+ W W ·000-0 () + 4 4 W BU 4 3 +...+ W av

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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A complex number w is such that ww* − 16√3 i +8iw = 0 and Im(w)<5, where w* is the
conjugate of w.
(i)
(ii)
(111)
Find w in the form x + yi, where x, y = B
Find the integer values of n such that w" is re
Evaluate 1+
W
4
W
4
+
W
+...+
W
[(i) 2√√3+2i; (ii) n = 6k, k = Z ; (iii) ●]
Transcribed Image Text:A complex number w is such that ww* − 16√3 i +8iw = 0 and Im(w)<5, where w* is the conjugate of w. (i) (ii) (111) Find w in the form x + yi, where x, y = B Find the integer values of n such that w" is re Evaluate 1+ W 4 W 4 + W +...+ W [(i) 2√√3+2i; (ii) n = 6k, k = Z ; (iii) ●]
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