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Number of solutions for x^2-2-2[x]=0, (w...

Number of solutions for `x^2-2-2[x]=0`, (where[.] denotes greatest integer function is

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PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
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  5. If alpha and beta are the distinct roots of the equation x^2-p(x+1)-b=...

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  6. The number of non-zero solutions of the equation,x^2-5x-(sgn)6=0 is

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  7. If the equation x^2+2(k+1)x+9k-5=0 has only negative roots, then the ...

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  8. If P(x) = ax^2+bx+c, and Q(x) = -ax^2+dx+c, acne 0, then prove that P(...

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  9. If,alpha be the root of equation ax^2+bx+c=0 and beta be root of -ax^2...

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  10. Let x,y,z be real variable satisfying the equations x+y+z=6 and xy+yz+...

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  11. If one root of the quadratic equation ax^2+bx+c=0 is equal to the n^th...

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  12. Find all real values of a for which the equation x^4+(a-1)x^3+x^2+(a-...

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  13. Solve the equation (x+2)(x+3)(x+8)(x+12)=4x^2

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  14. Solve the equation x^(logx(x+3)^2 )=16

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  15. If x is real, find the values of k for which abs(x^2+kx+1)/abs(x^2+x+1...

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  16. Let S be the set of all non-zero real numbers alpha such that the quad...

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  17. Let alpha and beta be the roots of the equation x^2-6x-2=0. If an=alph...

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  18. If alpha,beta are the roots of x^2-px+1=0 and gamma is a root of x^2+p...

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  19. The quadratic expression (2x+1)^2-px+qne0 for any real x if

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  20. Given that x is a real number satisfying (5x^2-26x+5)/(3x^2-10x+3)lt0,...

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