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Solve the system of equations R e(z^2)=0...

Solve the system of equations `R e(z^2)=0,\ |z|=2`

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`z=x+iy`
`re (z ^2 )=re[(x+iy)(x+iy)]`
`=re[x ^2 −y ^2 ...
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RD SHARMA-COMPLEX NUMBERS-Solved Examples And Exercises
  1. Evaluate the following: \ 2x^4+5x^3+7x^2-x+41 ,\ w h e n\ x=-2-sqrt(3)...

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  2. If z1 is a complex number other than -1 such that |z1|=1\ a n d\ z2=(z...

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  3. Solve the system of equations R e(z^2)=0,\ |z|=2

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  4. If |z+1|=z+2(1+i), find zdot

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  5. Find the square root of the following complex number: -5+12 i

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  6. Find the square roots of the following:8\ 6i

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  7. Find the square root of the following complex number: \ 1+4sqrt(-3)

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  8. Find the square root of the following complex number: -7-24 i

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  9. Find square root of 8-15 i

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  10. Find the square root of the following complex number: 1-i

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  11. Find the square root of the following complex number: -11-60sqrt(-1)

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  12. Find the square root of the following complex number: -i

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  13. Find the modulus and argument of each of the following complex number:...

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  14. Find the modulus and argument of each of the following complex number:...

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  15. Find the modulus and argument of each of the following complex number:...

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  16. Find the modulus and argument of each of the following complex number:...

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  17. Find the modulus and argument of the following complex number:(1+i)/(1...

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  18. Find the modulus and argument of the following complex number: 1/(1+i)

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

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  20. Write the following complex numbers in the polar form: -1-i

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