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Prove that z=i^i, where i=sqrt-1, is pur...

Prove that `z=i^i,` where `i=sqrt-1,` is purely real.

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Find the real part of e^e^(itheta)

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  2. If alpha, beta and gamma are the roots of x^3 - x^2-1 = 0, then value ...

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  3. Prove that z=i^i, where i=sqrt-1, is purely real.

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  4. If alpha,beta,gamma,delta are the roots of the equation x^4-K x^3+K x...

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  6. Suppose that f(x) is a quadratic expresson positive for all real xdot ...

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  7. about to only mathematics

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  8. Let f(x)=ax^2-bx+c^2, b != 0 and f(x) != 0 for all x ∈ R. Then (a) ...

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  9. If n is n odd integer that is greater than or equal to 3 but not a mul...

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  10. If a ,b in R ,a!=0 and the quadratic equation a x^2-b x+1=0 has imagi...

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  11. Find the complex number omega satisfying the equation z^3=8i and lyi...

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  12. If the expression [m x-1+(1//x)] is non-negative for all positive real...

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  13. When the polynomial 5x^3+M x+N is divided by x^2+x+1, the remainder is...

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  14. x1 and x2 are the roots of a x^2+b x+c=0 and x1x2<0. Roots of x1(x-x2)...

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