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If alpha,beta,gamma are the roots of the...

If `alpha,beta,gamma` are the roots of the equation `x^3+x+1=0`, then the value of `alpha^3+beta^3+gamma^3` is.

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PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
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  3. If alpha,beta,gamma are the roots of the equation x^3+x+1=0, then the ...

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  4. alpha,beta are the roots of the equation (a-2)x^2-(5-a)x-5=0.Find 'a' ...

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  5. If f(x) = g(x)^3+xh(x)^3 is divisible by x^2+x+1, then

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  6. If the roots of the equation a(b-c)x^2+b(c-a)x+c(a-b)=0 are equal,the...

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  7. If the roots of the equation 6x^3-11x^2+6x-1=0 are in H.P., then the r...

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  8. A value of b for which the equations x^2+bx-1=0, x^2+x+b =0 have one r...

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  9. If a,b,c are in G.P., then the equations ax^2+2bx+c =0 and dx^2+2ex+f ...

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  10. In what interval 'm' must lie so that the root of the equation x^2-2mx...

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  11. The necessary and sufficient condition for the equation (1-a^2)x^2+2ax...

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  12. For all 'x', x^2+2ax+(10-3a)gt0, then the interval .In which 'a' lies ...

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  13. The maximum value of 2-3x-4x^2

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  14. Number of solution of equation sin^(-1)x+cos^(-1)(x^2)=pi/2

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  15. The equation sqrt(x+1)-sqrt(x-1)=sqrt(4x-1) has

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  16. Solve x^[[3/4(log2 x)^2+log2 x-5/4]] = sqrt2

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  17. x.[x],{x} are in G.P. then x equals

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  18. The roots of the equation x^sqrtx=sqrt(x^x) are

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  19. The number of real solution of the equation e^x=x is

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  20. Let f(x) =x^2+bx+c, where b,c inR. If f(x) is a factor of both x^4+6x^...

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