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If alpha+beta=3 and a^(3)+beta^(3) = 7, ...

If `alpha+beta=3` and `a^(3)+beta^(3) = 7`, then `alpha` and `beta` are the roots of the equation

A

`9x^(2) + 27 x + 20 = 0`

B

`9x^(2) - 27 x + 20 = 0`

C

`9x^(2) + 27 x - 20 = 0`

D

`9x^(2) - 27 x - 20 = 0`

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The correct Answer is:
B
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AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-PRACTICE EXERCISE
  1. Let alpha and beta be the roots of the quadratic equation ax^(2) + bx ...

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  2. If one root of the equation x^(2) + px + q = 0 is the square of the ot...

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  3. If alpha+beta=3 and a^(3)+beta^(3) = 7, then alpha and beta are the ro...

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  4. The equation whose roots are smaller by 1 then those of 2x ^2-5...

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  5. Assertion (A): The roots of the equation 2x^(2) - 15x + 4 = 0 are each...

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  6. The equation formed by decreasing each root of ax^(2) + bx + c = 0 by ...

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  7. If alpha, beta are the roots of x^(2)+3x+1=0, then the equation whose ...

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  8. If alpha, beta are the roots of 2x^(2) + 5x + 2 = 0, then the equation...

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  9. The number of integral solutions of 2(x^(2)+(1)/(x^(2)))-7(x+(1)/(x)) ...

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  10. IF 3+i is a root of the equation x^2 + ax + b=0 then a=

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  11. The roots of the equation x^(2)-2ax+8a-15=0 are equal, then a =

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  12. If one root of the equation I x ^2 - 2(1+i) x+ (2-i) =0 is 2- I ...

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  13. If x = 1 + i is a root of the equation x^(2) - ix - 1-i = 0 then the o...

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  14. Assertion (A) : If the roots of (b-c) x^(2) + (c-a) x+(a-b) = 0 are eq...

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  15. If x^(2) - (5m - 2)x + 4m^(2) + 10m + 25 is a perfect square then m = ...

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  16. The roots of the equation x^(2)+2ax+a^(2)+b^(2)=0 are

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  17. The roots of the equation 2(a ^2 +b^2)x^2+2(a+b)x+1=0 are

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  18. For p, q in R, the roots of (p^(2) + 2)x^(2) + 2x(p +q) - 2 = 0 are

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  19. If the equation x^(2)-x+ m^(2) = 0 has no real roots then m can satisf...

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  20. If the roots (1)/(x+k+1)+(2)/(x+k+2)=1 are equal in magnitude but oppo...

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