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If the six roots of x^6 = -64 are writt...

If the six roots of `x^6 = -64` are written in the form `a + ib`, where a and b are real, then the product of those roots for which `a > 0` is

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  2. Solve the equation (x-1)^4+(x-5)^4=82.

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  3. If the six roots of x^6 = -64 are written in the form a + ib, where ...

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  4. The maximum area of the triangle formed by the complex coordinates z,...

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  5. Solve sqrt(x+5)+sqrt(x+21)=sqrt(6x+40.)

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  6. If zr : r=1,2,3, ,50 are the roots of the equation sum(r=0)^(50)z^r=0 ...

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  9. If 1,alpha1,alpha2, ,alpha(n-1) are the n t h roots of unity, prove t...

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  10. If n >1 , show that the roots of the equation z^n=(z+1)^n are collinea...

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  11. If the expression a x^4+b x^3-x^2+2x+3 has remainder 4x+3 when divided...

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  12. If |z2+i z1|=|z1|+|z2|a n d|z1|=3a n d|z2|=4, then the area of triang...

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  13. What is the locus of w if w=3/za n d|z-1|=1?

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  14. If z is complex number, then the locus of z satisfying the condition...

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  15. Find the remainder when x^3+4x^2-7x+6 is divided by x-1.

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  17. Use the factor theorem to find the value of k for which (a+2b),w h e ...

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  18. If z is a complex number lying in the fourth quadrant of Argand plane ...

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  19. If z=(lambda+3)+isqrt(5-lambda^2) then the locus of Z is

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  20. Let z be a complex number having the argument theta ,0 < theta < pi/2,...

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