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p^3-9p^2+18p=0 q^3-q^2=0...

`p^3-9p^2+18p=0`
`q^3-q^2=0`

A

`pltq`

B

`pgtq`

C

`pleq`

D

con't be determined

Text Solution

Verified by Experts

The correct Answer is:
A
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Let pa n dq be real numbers such that p!=0,p^3!=q ,a n d p^3!=-qdot If alphaa n dbeta are nonzero complex numbers satisfying alpha+beta=-pa n dalpha^2+beta^2=q , then a quadratic equation having alpha//betaa n dbeta//alpha as its roots is A. (p^3+q)x^2-(p^3+2q)x+(p^3+q)=0 B. (p^3+q)x^2-(p^3-2q)x+(p^3+q)=0 C. (p^3+q)x^2-(5p^3-2q)x+(p^3-q)=0 D. (p^3+q)x^2-(5p^3+2q)x+(p^3+q)=0

QUANTUM CAT-THEORY OF EQUATIONS-QUESTION BANK
  1. p^2-42p-343=0 16/sqrtq+9/sqrtq=5sqrtq

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  2. 7p^2+4sqrt7p-5=0 sqrt77q^2-(10sqrt7+sqrt11)q+10=0

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  3. p^3-9p^2+18p=0 q^3-q^2=0

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  4. 25p^2-55sqrt11p+198=0 25q^2+55sqrt11q+198=0

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  5. 25p^2-35sqrt11p-198=0 25q^2+35sqrt11q-198=0

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  6. p^2-8sqrt83+45=0 q^2-12sqrt3+105=0

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  7. p^2+2|p|+35=0 q^2+2q+35=0

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  8. For the extremely high values of x what will be the tendency of the gr...

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  9. When x approaches -oo, then what will be the tendency of the graph 5x^...

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  10. Which one of the following is true about the polynomial function y=-7x...

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  11. Find the domain of the rational polynomial f(x)=(x^3+2x^2-4x-8)/(x^4-x...

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  12. Find the domain of the rational polynomial f(x)=(x^3+2x^2-4x-8)/(x^4-x...

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  13. Find the roots of the rational polynomial equation (x^2-6x+8)/(x+2)=0.

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  14. Nature of roots and Location of roots of quadratic equation

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  15. What cannot be the exact number of real roots in a polynomial of degre...

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  16. Find the possible number of positive and negative real roots of x^4+7x...

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  17. Find the possible number of positive and negative real roots of 2x^4-x...

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  18. Find the possible number of positive and negative real roots of x^5+x^...

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  19. Find the possible number of positive and negative real roots of x^5-x^...

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  20. Find the possible number of positive and negative real roots of 4x^7+3...

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