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If alpha and beta are roots of x^(2)-5x+...

If `alpha` and `beta` are roots of `x^(2)-5x+6=0`, form the equation whose roots are as follows :
`(1)/(alpha^(2)),(1)/(beta^(2))`

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The correct Answer is:
`144x^(2)468x+16=0`
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CENGAGE-QUADRATIC EQUATIONS -TEST YOURSELF (Level 3)
  1. If alpha and beta are roots of x^(2)-5x+6=0, form the equation whose r...

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  2. If alpha and beta are roots of x^(2)-5x+6=0, form the equation whose r...

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  3. If alpha and beta are roots of x^(2)-5x+6=0, form the equation whose r...

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  4. If alpha and beta are roots of x^(2)-5x+6=0, form the equation whose r...

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  5. Solve the following : 2^(2x+3)-57=65(2^(x)-1)

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  6. Solve the following : 3^(x+2)+3^(-x)+10=0

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  7. Solve the following : 5^(x+1)+5^(2-x)=5^(3)+1

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  8. Solve the following : sqrt(2x+7)+sqrt(3x-18)=sqrt(7x+1)

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  9. Solve the following : sqrt(x+5)+sqrt(x+12)=sqrt(2x+41)

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  10. Solve the following : sqrt(3x^(2)+7x+2)-sqrt(2x^(2)+7x+11)=x-3

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  11. Solve the following : sqrt(x^(2)-11x+30)-sqrt(2x^(2)-21x+55)=x-5

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  12. Discuss the nature of the roots of the following : 7x^(2)-11x+4

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  13. Discuss the nature of the roots of the following : 6x^(2)-13x-15=0

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  14. Discuss the nature of the roots of the following : x^(2)-7x+8=0

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  15. Discuss the nature of the roots of the following : x^(2)+9x+27=0

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  16. Discuss the nature of the roots of the following : 4x^(2)-12x+15=0

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  17. For what value of k will 18x^(2)-kx+2=0 have equal roots ?

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  18. If p and q are the roots of x^(2)-ax+b=0, find the value of (1)/(p^(3)...

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  19. Find the quadratic equation one of whose roots is p+sqrt(q).

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  20. The sum of the squares of two consecutive natural numbers is 145. Find...

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