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If alpha and beta are the roots of the ...

If `alpha` and `beta` are the roots of the equation `ax^2+bx+c=0`, find their values of the following expressions in terms of a, b and c.
`alpha^2beta^2`

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QUANTUM CAT-THEORY OF EQUATIONS-QUESTION BANK
  1. Form the quadratic equation whose roots are 5+2sqrt7 and 5-2sqrt7 .

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  2. Form the quadratic equation whose roots are 5+2sqrt7 and 5-2sqrt7 .

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  3. If alpha and beta are the roots of the equation ax^2+bx+c=0, find the...

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  4. If alpha and beta are the roots of the equation ax^(2)+bx+c=0, find th...

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  5. If alpha and beta are the roots of the equation ax^(2)+bx+c=0, find th...

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

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  7. Two students A and B solve an equation of the form x^(2)+px +q=0 . ...

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  8. If the two roots of a quadratic equation are (-3)/2 and (-5)/3 which ...

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  9. If the two roots of any quadratic equation are sqrt3 and sqrt3, how ma...

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  10. If the two factors of any quadratic equation are (x+sqrt3) and (x-sqr...

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  11. If a quadratic equation is multiplied by 4, the roots of the new equat...

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  12. If one root is 3-sqrt5 and the other root is 3+sqrt5, find the possibl...

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  13. Roots are real only when D is non-negative.

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  14. Roots are complex (or imaginary) when D is negative.

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  15. Roots are rational only when D is a perfect square number like 0,1,4,9...

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  16. Roots are equal only when D =0.

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  17. The equal roots are called Double Root.

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  18. When the roots are irrational they are in conjugate pairs as if one ro...

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  19. When the roots are complex they are in conjugate pairs as if one root ...

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  20. If Dgt0,a=1,b,cinZ (integer numbers) and roots are rational,prove tha...

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