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Find non zero integral solutions of `|1-i|^x=2^xdot`

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Let z be not a real number such that (1+z+z^2)//(1-z+z^2) in R , then...

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  2. Let a is a real number satisfying a^3+1/(a^3)=18 . Then the value of a...

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  3. Find non zero integral solutions of |1-i|^x=2^xdot

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  4. If (1+i)(1+2i)(1+3i)......(1+n i)=(x+i y) , show that 2. 5. 10...... (...

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  5. If a x^2+b x+c=0,a ,b ,c in R has no real zeros, and if c<0 , then wh...

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  6. If omega is a cube root of unity, then find the value of the following...

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  7. If f(x)=sqrt(x^2+a x+4) is defined for all x , then find the values of...

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  8. If omega is a cube root of unity, then find the value of the following...

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  9. Find the domain and range of f(x)=sqrt(x^2-4x+6)

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  10. Prove that |z1+z2|^2=|z1|^2+|z2|^2, ifz1//z2 is purely imaginary.

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  11. Find the range of the function f(x)=6^x+3^x+6^(-x)+3^(-x)+2.

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  12. If omega is a cube root of unity, then find the value of the following...

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  13. If alpha ,beta are the roots of the equation 2x^2+2(a+b)x+a^2+b^2=0 th...

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  14. Let z1,z2, z3, zn be the complex numbers such that |z1|=|z2|=|zn|=1. I...

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  15. If a ,b , in R such that a+b=1a n d(1-2ab)(a^3+b^3)=12 . The value ...

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  16. If |z|lt=4 , then find the maximum value of |i z+3-4i|dot

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  17. Find the range of f(x)=x^2-x-3.

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  18. If the fraction (x^3 +(a-10)x^2-x+a-6)/(x^3 +(a-6)x^2-x+a-10)reduces t...

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  19. The polynomial f(x)=x^4+a x^3+b x^3+c x+d has real coefficients and f(...

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  20. Find the value of i^n+i^(n+1)+i^(n+2)+i^(n+3) for all n in Ndot

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