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If omega is a cube root of unity, then f...

If `omega` is a cube root of unity, then find the value of the following: `(1+omega-omega^2)(1-omega+omega^2)`

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  2. Find the range of the function f(x)=6^x+3^x+6^(-x)+3^(-x)+2.

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

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

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

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

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

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  14. Let x ,y ,z in R such that x+y+z=6a nd x y+y z+z x=7. Then find the...

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  15. Show that the polynomial x^(4p)+x^(4q+1)+x^(4r+2)+x^(4s+3) is divisibl...

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  16. if ax^2+bx+c = 0 has imaginary roots and a+c lt b then prove that 4a+...

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  17. Solve: i x^2-3x-2i=0,

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  18. Let a ,b ,a n dc be distinct nonzero real numbers such that (1-a^3)/a...

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  19. Express each one of the following in the standard form a+i bdot (5+...

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  20. If the cubic 2x^3-9x^2+12 x+k=0 has two equal roots then minimum valu...

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