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If omega is a cube root of unity and (1+...

If `omega` is a cube root of unity and `(1+omega)^7=A+Bomega` then find the values of A` and `B`

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. The complex number z satisfies z+|z|=2+8i. find the value of |z|-8

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  2. Solve (x^2-2x-3)/(x+1)=0.

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  3. If omega is a cube root of unity and (1+omega)^7=A+Bomega then find th...

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  4. Solve (x^3-4x)sqrt(x^2-1)=0.

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  5. The complex number sinx+icos2x and cosx-isin2x are conjugate to each o...

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  6. Solve (2x-3)/(x-1)+1=(9x-x^2-6)/(x-1)dot

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  7. The points, z1,z2,z3,z4, in the complex plane are the vertices of a pa...

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  8. Using differentiation method check how many roots of the equation x^3-...

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  9. If z=x+iy and w=(1-iz)/(z-i), then |w|=1 implies that in the complex ...

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  10. If the difference between the roots of the equation x^2+""a x""+""1...

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  11. |z-4| < |z-2| represents the region given by: (a) Re(z) > 0 (b) Re(z) ...

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  12. Find how many roots of the equations x^4+2x^2-8x+3=0.

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  13. If z=[(sqrt(3)/2)+i/2]^5+[((sqrt(3))/2)-i/2]^5 , then a. R e(z)=0 b. I...

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  14. How many real solutions does the equation x^7+14 x^5+16 x^3+30 x-560=0...

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  15. The complex numbers z=x+iy which satisfy the equation |(z-5i)/(z+5i)|=...

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  16. Solve sqrt(5x^2-6x+8)-sqrt(5x^2-6x-7)=1.

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  17. The smallest positive integer n for which ((1+i)/(1-i))^n=1 is (a)8...

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  18. Solve sqrt(3x^2-7x-30)+sqrt(2x^2-7x-5)=x+5.

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  19. If the cube roots of unity are 1,omega,omega^2, then the roots of the ...

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  20. If x= (7+4sqrt(3)), prove that x+1//x= 14

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