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Solve for z : z^2-(3-2i)z=(5i-5)dot...

Solve for `z : z^2-(3-2i)z=(5i-5)dot`

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`z^(2) - (3-2i)z = (5i -5)`
`or z^(2)-(3-2i)z-(5i-5) =0`
`or z=((3-2i)pmsqrt((3-2i)^(2)+4(5i-5)))/(2)`
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CENGAGE ENGLISH-COMPLEX NUMBERS-ILLUSTRATION
  1. Find the square root of the following: 5+12 i

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  2. Find all possible values of sqrt(i)+sqrt(-i)dot.

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  3. Solve for z : z^2-(3-2i)z=(5i-5)dot

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  4. Solve the equation (x-1)^3+8=0 in the set C of all complex numbers.

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  5. If n is n odd integer that is greater than or equal to 3 but not a mul...

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  6. omega is an imaginary root of unity. Prove that If a+b+c = 0 th...

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  7. Find the complex number omega satisfying the equation z^3=8i and lying...

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  8. (1)/(a + omega) + (1)/(b+omega) +(1)/(c + omega) + (1)/(d + omega) =(1...

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  9. Write the following complex number in polar form : -3 sqrt(2) + ...

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  10. Let z(1)= cos 12^(@) + I sin 12^(@) and z(2) = cos 48^(@) + i. sin 4...

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  11. Covert the complex number z = 1 + cos (8pi)/(5) + i. sin (8pi)/(5) in ...

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  12. Let z and w be two nonzero complex numbers such that |z|=|w| and arg...

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  13. Find nonzero integral solutions of |1-i|^x=2^xdot

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  14. Let z be a complex number satisfying |z| = 3 |z-1|. Then prove that ...

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  15. If complex number z=x +iy satisfies the equation Re (z+1) = |z-1|, th...

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  16. Solve the equation |z|=z+1+2idot

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  17. Find the range of real number alpha for which the equation z+alpha|z-1...

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  18. Find the Area bounded by complex numbers arg|z|lepi/4 and |z-1|lt|z-3|

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  19. Prove that traingle by complex numbers z(1),z(2) and z(3) is equilate...

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  20. Show that e^(2m itheta)((icottheta+1)/(i cottheta-1))^m=1.

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