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(i) Let z_1 (i=1,2,3,3) represent the vertices a square all of which lie on the sides of the triangle with vertices (0,0), (2,1), (3,0) . Give that z_1 and z_2 are purify real, find z_3 and z_4. (ii) Find the roots common to the equations x^6 - x^3 + x^2 -1=0, x^4 =1.

Answer»


ANSWER :`z_3 = (9)/(4) + (3)/(4)i , z_4= (3)/(2) = (3)/(4) i`
`1,-1`


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