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Find the roots of the equation x+1/x=3...

Find the roots of the equation `x+1/x=3`

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. 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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  2. If (a+ib)(c+id)(e+if)(g+ih)=A+iB, then show that (a^2+b^2)(c^2+d^2)(e^...

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  3. Find the roots of the equation x+1/x=3

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

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  5. If z=i^(i^(i)) where i=sqrt-1 then find the value of |z|

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

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  7. If alpha and beta are different complex numbers with absbeta=1. then f...

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

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  9. 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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  10. z=x+iy and w=(1-iz)/(1+iz) and |w|=1 ,prove that z is purely real

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

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

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

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

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

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

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

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  19. If i z^4+1=0, then prove that z can take the value cospi//8+isinpi//...

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  20. Find the value of x such that ((x+alpha)^n-(x+beta)^n)/(alpha-beta)=(s...

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