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

If `alpha, beta` are the roots of the equation `ax^(2)+bx+c=0`, find the values of the following expressions in terms of a,b,c.
`((alpha)/(beta)-(beta)/(alpha))^(2)," if "c ne 0`

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The correct Answer is:
`=((b^(2))/(a^(2))[(b^(2)-4ac)/(a^(2))])/((c^(2))/(a^(2)))=(b^(2)(b^(2)-4ac))/(a^(2)c^(2))`
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-QUADRATIC EXPRESSIONS-TEXTUAL EXERCISES
  1. If alpha, beta are the roots of the equation ax^(2)+bx+c=0, find the v...

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

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

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

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  5. Find the values of m for which the following equations have equal root...

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  6. Find the values of m for which the following equations have equal root...

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  7. Find the values of m for which the following equations have equal root...

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  8. Find the values of m for which the following equations have equal root...

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  9. Find the values of m for which the following equations have equal root...

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  10. If alpha, and beta are the roots of x^(2)+px+q=0 form a quadratic equa...

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  11. If x^(2)+bx+c=0, x^(2)+cx+b=0 (b ne c) have a common root, then show t...

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  12. Prove that the roots of (x-a)(x-b)=h^(2) are always real.

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  13. Find the condition that one root of the quadratic equation ax^(2)+bx+c...

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  14. Find two consecutive positive even integers, the sum of whose squares ...

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  15. If alpha, beta are the roots of the quadratic equation ax^(2)+bx+c=0, ...

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  16. 2x^(4)+x^(3)-11x^(2)+x+2=0

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  17. Solve 3^(1+x)+3^(1-x)=10

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  18. Solve 4^(x-1)-3.2^(x-1)+2=0

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  19. sqrt((x)/(x-3))+sqrt((x-3)/(x))=(5)/(2)," when "x ne 0and x ne 3

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  20. sqrt((3x)/(x+1))+sqrt((x+1)/(3x))=2," when "x ne 0and x ne -1

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