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Evaluate the following: \ 2x^4+5x^3+7x^2...

Evaluate the following: `\ 2x^4+5x^3+7x^2-x+41 ,\ w h e n\ x=-2-sqrt(3)i`

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`2x ^4 +5x ^3 +4x ^2 −x+41 ---(1)`
`x=−2− ...
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RD SHARMA-COMPLEX NUMBERS-Solved Examples And Exercises
  1. Evaluate the following:\ x^4+4x^3+6x^2+4x+9,\ w h e n\ x=-1+isqrt(2)

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  2. Evaluate the following: x^6+x^4+x^2+1,\ w h e n\ x=(1+i)/(sqrt(2))

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  3. Evaluate the following: \ 2x^4+5x^3+7x^2-x+41 ,\ w h e n\ x=-2-sqrt(3)...

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

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

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

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

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

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

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

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  11. Find square root of 8-15 i

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

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

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

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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 each of the following complex number:...

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

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

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

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