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Question

Consider an equation, Z2- 2Z+4 =0

a)Find two comblex numers Z1 and Z2 .

bSimplify Z1/Z2 + Z2/ Z1.

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Solution

z2 - 2z + 4

solving this quadratic equation by sridhracharya formula,

z = {2±√(4-16)}/2

z1 = (2+2√3i)/2 = 1 + √3i

z2 = (2-2√3i)/2 = 1 - √3i

b) putting these values of z1 and z2 ,solve the next part.


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