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2x^4+5x^3+7x^2-x+41, when x=-2-sqrt(3)i...

`2x^4+5x^3+7x^2-x+41`, when `x=-2-sqrt(3)i`

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Evaluate the following: 2x^(4)+5x^(3)+7x^(2)-x+41, when x=-2-sqrt(3)

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Which of the following are polynomials : (i) 3x^(2)-7x+6 " " (ii) x^(2)-sqrt(3)x+4 " " (iii) 3sqrt(x)+5 " " (iv) 13 " " (v) a+(5)/(a)+6

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MODERN PUBLICATION-COMPLEX NUMBERS-FREQUENTLY ASKED QUESTIONS
  1. If z=2-3i show that z^2=4z+13=0 and hence find the value of 4z^3-3z^2+...

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  2. Show that a real value of x\ will satisfy the equation (1-i x)/(1+i x...

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  3. If y=sqrt(x^2+6x+8), show that one value of sqrt(1+i y)+sqrt(1-i y)[i=...

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  4. If a+i b=(c+i)/(c-i) , where c is real, prove that:a^2+b^2=1a n d b/a=...

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  5. If (a+ib)/(c+id)=x+iy, show that: x^(2)+y^(2)=(a^(2)+b^(2))/(c^(2)+d...

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  6. Find the conjugate and modulus of complex number 7-24i.

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  7. Find the conjugate of ((3-2i)(2+3i))/((1+2i)(2-i)).

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  8. Prove that for any complex number z, the product zoverline(z) is alway...

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  9. If z=((sqrt(5))/(2)+(i)/(2))^(5)+((sqrt(5))/(2)-(i)/(2))^(5), the prov...

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  10. Write the addtive inverse of the complex number -2+3i.

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  11. Find the additive inverse and reciprocal of complex number 3-4i.

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  12. Find the multiplicative inverse of the following: (i) 3+4i (ii) (5...

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  13. Inverse of (3+4i)/(4-5i)

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  14. If z=(1-i)^(6)+(1-i), then find the modulus of z (i.e., |z|) and multi...

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  15. Find the value of sqrt(3-4i).

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  16. Find the square roots of -48-14i.

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  17. Find the square roots of : ((2+3i)/(5-4i)+(2-3i)/(5+4i)).

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  18. Square root of (x^2+1/x^2)-4/i(x-1/x)-6 is

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  19. Evaluate sqrt(4+3sqrt(-20))+sqrt(4-3sqrt(-20)).

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  20. 2x^4+5x^3+7x^2-x+41, when x=-2-sqrt(3)i

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