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Let z be a complex number satisfying the...

Let `z` be a complex number satisfying the equation `(z^3+3)^2=-16` , then find the value of `|z|dot`

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  2. Find the quadratic equation with rational coefficients whose one root ...

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  3. Let z be a complex number satisfying the equation (z^3+3)^2=-16 , then...

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  4. If P(x) = ax^2+bx+c, and Q(x) = -ax^2+dx+c, acne 0, then prove that P(...

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  6. If x is real, then x//(x^2-5x+9) lies between a.-1a n d-1//11 b. ...

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  7. Find the least positive integer n such that ((2i)/(1+i))^n is a positi...

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  8. Set of all real value of a such that f(x)=((2a-1)x^2+2(a+1)x+(2a-1))/(...

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  9. Find the real part of e^(ei theta)

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

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

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

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  13. In A B C ,A(z1),B(z2),a n dC(z3) are inscribed in the circle |z|=5. I...

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  14. Suppose that f(x) isa quadratic expresson positive for all real xdot I...

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  15. Multiply: (2+5i)(4-3i)

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

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  17. It is given that n is an odd integer greater than 3 but n is not a mul...

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

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

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

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