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If x=4/9 satisfies the equation (log)a(x...

If `x=4/9` satisfies the equation `(log)_a(x^2-x+2)>(log)_a(-x^2+2x+3),` then the sum of all possible distinct values of `[x]` is (where`[dot]` represetns the greatest integer function) ___

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A DAS GUPTA-Equations, Inequation and Expressions-Exercise
  1. Solve abs(x-1) + abs(x-2) + abs(x-3)ge 6, x in R.

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  2. Solve abs(abs(x-2)-1) ge 3.

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  3. If x=4/9 satisfies the equation (log)a(x^2-x+2)>(log)a(-x^2+2x+3), the...

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  4. If log(3x+5)(a x^2+8x+2)>2 then x lies in the interval

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  5. Let there be a quotient of two natural numbers in which the derin whic...

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  6. If p and q are odd integers the equation x^2 + 2px + 2q = 0 cannot hav...

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  7. If the roots of x^2-ax+b=0 are real and differ by a quantity which is ...

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  8. If altbltcltd the equation (x-a)(x-c)+lambda(x-b)(x-d)=0 has real root...

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  9. If p is the first of the n arithmetic means between two numbers and q ...

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  10. Let a ,b in na n a > 1. Also p is a prime number. If a x^2+b x+c=p fo...

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  11. Given two quadratic equation x^2-x+m=0 and x^2-x+3m=0, m!=0. Find the ...

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  12. If a, b, c are in HP, find the relation between the roots of ax^2+bx+c...

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  13. Let a ,b ,c be real. If a x^2+b x+c=0 has two real roots alphaa n dbet...

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  14. For what values of m epsilonR, both roots of the equation x^(2)-6mx+9m...

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  15. If ax^2-bx + c=0 have two distinct roots lying in the interval (0,1); ...

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  16. The set of values of a for which the inequality, x^2 + ax + a^2 + 6a ...

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  17. Find all integral values of a for which the quadratic expression (x - ...

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  18. Find the values of the parameter a for which 4^x-a.2^x-a+3 <= 0 for at...

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  19. Find all values of the parameter a for which the inequality a.9^x +4(a...

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  20. Solve the equation sqrt(a(2x^x-2)+1)=1-2^x ,x in Rdot

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