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The values of 'a' for which the equation...

The values of 'a' for which the equation `(x^2 + x + 2)^2 - ( a-3)( x^2+ x+2)(x^2 +x + 1) + (a-4)(x^2 + x + 1)^2 = 0` has atlesast one real root is:

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Prove that for all real values of x and y ,x^2+2x y+3y^2-6x-2ygeq-11.

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  2. Let z=x+iy be a complex number where x and y are integers then the are...

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  3. The values of 'a' for which the equation (x^2 + x + 2)^2 - ( a-3)( x^2...

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  4. A man walks a distance of 3 units from the origin towards the north ea...

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  5. Find the values of a for whilch the equation sin^4x+asin^2x+1=0 will h...

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  6. If absz=1 and z ne+-1 then all the values of z/(1-z^2) lie on

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  7. Find all the value of m for which the equation sin^2x-(m-3)sinx+m=0 ...

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  8. Let A(z1) and (z2) represent two complex numbers on the complex plan...

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  9. Let ...

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  10. Let z1 and z2 be complex numbers such that z1 nez2 and absz1=absz2 if ...

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  11. Find the condition if the roots of a x^2+2b x+c=0 and b x^2-2sqrt(a c ...

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  12. Locus of complex number satisfying "a r g"[(z-5+4i)/(z+3-2i)]=pi/4 is ...

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  13. Solve (x^2-5x+7)^2-(x-2)(x-3)=1.

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  14. If alpha is a complex constant such that alphaz^2+z+baralpha=0 has are...

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  15. Solve the equation x^4-5x^2+4=0.

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  16. The complex number z satisfies z+|z|=2+8i. find the value of |z|-8

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  17. Solve (x^2-2x-3)/(x+1)=0.

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  18. If omega is a complex cube root of unity and (1+omega)^7=A+Bomega then...

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  19. Solve (x^3-4x)sqrt(x^2-1)=0.

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  20. For what value of x, The complex number sinx+icos2x and cosx-isin2x ar...

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