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The number of non negative integral solu...

The number of non negative integral solution of `x+y+z leq n`, where `n in N`

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A DAS GUPTA-Equations, Inequation and Expressions-Exercise
  1. Let [x] = the greatest integer le x, and {x}= x-[x] (x)=2[x]-{x}, x lt...

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  2. If x y=2(x+y),xlt=ya n dx ,y in N , then the number of solutions of t...

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  3. The number of non negative integral solution of x+y+z leq n, where n i...

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  4. 6^x+6^y=42 , x+y=3

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  5. The no of real solutions of the equation (15 + sqrt(14))^t + (15 - sqr...

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  6. Solve the system of equations, " " abs(x^(2)-2x)+y=1, x^(2)+a...

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  7. Solve the following equations for x and y: log10x+log10(x)^(1/2)+log10...

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  8. Let [a] denotes the larger integer not exceeding the real number a if ...

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  9. Number of real solution of |x+1|=e^x is

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  10. Solve : 2x^(2)-3x+5 lt 0

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  11. Find all real values of x which satisfy x^2-3x+2>0a n dx^2-2x-4lt=0.

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  12. Find all integers x for which (5x-1)<(x+1)^2<(7x-3)dot

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  13. The set of all real numbers a such that a^2+2a ,2a+3,a n da^2+3a+8 are...

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  14. Solve :(x+3)^4+(x-1)^4>=82

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  15. Sol v e(8x^2+16 x-51)/(2x^2+5x-12)>3

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  16. Solve (x^2-2x-3)/(x+1)=0.

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  17. The solution set of (10x)/(x^(2)+9)lt=1 is

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  18. Let y=sqrt(((x+1)(x+3))/((x-2))) . Find all the real values of x for w...

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  19. Solve (2x+3)/(x^(2)+x-12) lt (1)/(2).

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  20. The least integral value alpha of x such that (x-5)/(x^2+5x -14) >0, ...

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