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Find the number of real roots of the equ...

Find the number of real roots of the equation `(x-1)^2+(x-2)^2+(x-3)^2=0.`

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  2. Consider an equilateral triangle having verticals at point A(2/sqrt3 e...

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  3. Find the number of real roots of the equation (x-1)^2+(x-2)^2+(x-3)^2=...

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  4. Find the value of (i) (i^(592)+i^(590)+i^(588)+i^(586)+i^(584))/(i^(58...

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  5. Let z,z(0) be two complex numbers. It is given that abs(z)=1 and the n...

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  6. Show that the equation a z^3+b z^2+ barb z+ bara =0 has a root alpha ...

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  7. If nge3and1,alpha(1),alpha(2),alpha(3),...,alpha(n-1) are the n,nth ...

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  8. How many roots of the equation 3x^4+6x^3+x^2+6x+3=0 are real ?

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  9. If the roots of (z-1)^n=i(z+1)^n are plotted in ten Arg and plane, the...

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  10. Find the value of k if x^3-3x+k=0 has three real distinct roots.

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  11. Let z=t^2-1+sqrt(t^4-t^2),where t in R is a parameter. Find the locu...

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  12. If|z|=1 , then prove that points represented by sqrt((1+z)//(1-z)) lie...

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  13. If omega is an imaginary fifth root of unity, then find the value of ...

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  14. a ,b ,a n d c are all different and non-zero real numbers on arithmet...

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  15. Let x^2+y^2+x y+1geqa(x+y)AAx ,y in R , then the number of possible i...

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  16. If alpha=e^(i2pi//7)a n df(x)=a0+sum(k=0)^(20)ak x^k , then prove that...

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  17. If w=alpha+ibeta, where beta!=0 and z!=1 , satisfies the condition tha...

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  18. If z is a non real root of root(7)(-1) , then find the value of z^(86...

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  19. The quadratic equation x^2+m x+n=0 has roots which are twice those of ...

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  20. Let omega=-1/2+i(sqrt(3))/2, then value of the determinant [[1, 1, 1]...

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