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If x^2+x+1=0 then the value of (x+1/x)^2...

If `x^2+x+1=0` then the value of `(x+1/x)^2+(x^2+1/(x^2))^2+...+(x^27+1/(x^27))^2` is

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Consider two complex numbers alphaa n dbeta as alpha=[(a+b i)//(a-b i...

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  2. In how many points the graph of f(x)=x^3+2x^2+3x+4 meets the x-axis ...

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  3. If x^2+x+1=0 then the value of (x+1/x)^2+(x^2+1/(x^2))^2+...+(x^27+1/(...

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  4. If (a" "+" "i b)" "(c" "+" "i d)" "(e" "+" "if)" "(g" "+" "i h)" "=" "...

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  5. Analyze the roots of the equation (x-1)^3+(x-2)^3+(x-4)^3+(x-5)^3=0 by...

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  6. Solve the equation |z|=z+1+2idot

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  7. If z=i^(i^(i)) where i=sqrt-1 then |z| is equal to

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  8. Find the values of a for which the roots of the equation x^2+a^2=8x+6...

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  9. If alpha and beta are different complex numbers with |beta|=1, then...

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  10. If z=i log(2-sqrt3), then cosz= a. -1 b. (-1)/2 c. 1 d. 2

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  11. If f(x)=x^3-x^2+a x+b is divisible by x^2-x , then find the value of...

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  12. If z=x+i y and w=(1-i z)//(z-i) and |w| = 1 , then show that z is pure...

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  13. If the equation z^4+a1z^3+a2z^2+a3z+a4=0 where a1,a2,a3,a4 are real co...

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  14. If f(x)=x^3-3x^2+2x+a is divisible by x-1, then find the remainder whe...

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  15. If z1a n dz2 are two complex numbers and c >0 , then prove that |z1+z2...

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  16. Suppose A is a complex number and n in N , such that A^n=(A+1)^n=1, t...

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  17. Find the value of p for which x+1 is a factor of x^4+(p-3)x^3-(3p-5)x^...

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  18. If z1, z2, z3 be the affixes of the vertices A, B and C of a triangle...

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  19. The number of complex numbers z such that |z|=1 and |z/ barz + barz/z...

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  20. Given that x^2-3x+1=0, then the value of the expression y=x^9+x^7+x^(-...

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