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Find the values of the parameter a for w...

Find the values of the parameter a for which the roots of the quadratic equation `x^2+2(a-1)x+a+5=0` are
such that one root in greater than 3, and the other is smaller than 3

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`ain(5,24)`
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PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
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  3. Find the values of the parameter a for which the roots of the quadrati...

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  4. Let a,b,c be real. If ax^2+bx+c=0 has two real roots alpha,beta where ...

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  5. Find the value of a which the equation 4x^2-2x+a=0 has two roots lying...

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  6. Find the set of all x for which : (2x)/(2x^2+5x+2)gt1/(x+1)

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  7. Solve the following inequalities : (x-1)/(x^2-4x+3)lt1

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  8. Solve the following inequalities : (x^2-2x-1)/(x+1)ltx

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  9. Solve the following inequalities : (x-1)/(x)-(x+1)/(x-1)lt2

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  10. Solve the equation (x^2-6x)^2=81+2(x-3)^2

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  11. Solve log(1/3)(x^2-3x+5)lt-1

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  12. If alpha,beta,gamma are the roots of x^3+ax+b=0, then the value of alp...

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  13. Find the number of redered pairs (x,y) satisfying x^2+1=y and y^2+1=x

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  14. The roots of the quadratic equation 2x^2+3x+1=0 are

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  15. The number of values of 'a' for which (a^2-3a+2)x^2+(a^2-5a+6)x+a^2-4...

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  16. If a and b are integers and 2-sqrt3 is a root of the equation 3x^2+ax+...

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  17. If the sum of the roots of ax^2+bx+c=0 is equal to the sum of their s...

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  18. If x is real number, then the minimum value of x^2+x+1 is

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

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  20. If the quadratic equations ax^2+2cx+b=0 and ax^2+2bx+c=0 (bne0) have a...

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