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If a and b are integers and 2-sqrt3 is a...

If a and b are integers and `2-sqrt3` is a root of the equation `3x^2+ax+b`=0, then value of b is

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PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
  1. The roots of the quadratic equation 2x^2+3x+1=0 are

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

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

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

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

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

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  8. The value of 'a' for which the equation x^3+ax+1=0 and x^4+ax^2+1=0, w...

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  9. The coefficient of 'x' in the quadratic equation ax^2+bx+c=0 was wrong...

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  10. If p and q are the roots of the equation x^2+px+q=0, then

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  11. If one root of the equation x^2+px+12=0 is 4, while the equation x^2+p...

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  12. Ifalpha,beta be the roots of x^2-a(x-1)+b=0,then the value of 1/(alpha...

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  13. If one root of the equation x^2+(1-3i)x-2(1+i)=0is -1+i, then the oth...

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  14. If alpha,beta roots of ax^2+bx+c=0. Find the quadratic equation whose ...

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  15. If alpha,beta be the two roots of the equation x^2+x+1=0, then the equ...

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  16. The harmonic mean of the roots of the equation (5+sqrt)x^2-(4+sqrt5)x+...

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  17. The equation x^3+5x^2+px+q=0 and x^3+7x^2+px+r=0 have two roots in com...

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  18. If the roots of x^2+bx+c=0 are both real and greater than unity, then ...

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  19. Value of p, so that 6 lies between roots of the equation x^2+2(p-3)x+9...

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  20. Ifx^2-(a-3)x+a=0 has at least one positive root,then

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