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THE NUMBER OF SOLUTIONS OF THE EQUATION
Z^2 + Z' = 0Ā IS -------
A) 4
B)3
C)2
D)1
Put z = x + iy
and z'' = x - iy
(x + iy)^2 + x - iy = 0
x^2 - y^2 + 2xyi + x - iy = 0
(x^2 - y^2 + x) + i(2xy - y) = 0
1) 2xy - y = 0
y(2x - 1) = 0
y = 0 , x = 1/2
2) x^2 - y^2 + x= 0
at x = 1/2 y= +root3/2, -root3/2
at y = 0 x = 0, -1
Therefore answer shoulbe (a) 4 solutions.
PLZ APPROVE
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