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If a positive real number `x` satisfy the condition `x^(5)-x^(3)+` `x=1` then the minimum value of `x^(6)` is equal to

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CENGAGE-Quadratic Equations, Inequalities, Modulus and Logarithms-Question Bank
  1. Let a , b , c , d be positive integers such that (log)a b=3/2a n d(log...

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  2. Find the largest natural number a for which the maximum value of f(x)=...

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  3. If a positive real number x satisfy the condition x^(5)-x^(3)+ x=1 the...

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  4. If the quadratic equations 3 x^(2)+a x+1=0 and 2 x^(2)+b x+1=0 have a ...

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  5. The value of the expression x^(4)-8 x^(3)+18 x^(2)-8 x+2 when x=cot...

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  6. If lambda(1) and lambda(2) be two values of lambda for which the expre...

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  7. If k be an integer and p is a prime such that the quadratic equation x...

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  8. If the equation x^(3)+k x^(2)+3=0 and x^(2)+k x+3=0 have a common root...

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  9. If a x^(2)+b x+c=0 and b x^(2)+c x+a=0, a, b, c ne 0 have a common roo...

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  10. Let r(1), r(2) and r(3) be the solutions of the equation x^(3) - 2 x^(...

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  11. If f(x)=((x+3)^(201)(x-1)^(102)(x-5)^(305))/(x^(5)(3 x+4)^(503)), th...

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  12. The equation alpha x^(3)-2(alpha+1) x^(2)+4 alpha x=0 has real roots a...

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  13. Number of integral values of b for which inequality (a^(2)+1) x^(2)...

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  14. Let f(x)=ax^(2)+bx+c, a ne 0, a, b, c in I. Suppose that f(1)=0, 50 lt...

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  15. If alpha, beta be the roots of x^(2)+x+2=0 and gamma, delta be the roo...

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  16. The number of integral value(s) of a so that the graph of y=16 x^(2)+8...

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  17. Number of integral values of a such that the quadratic equation x^(2)+...

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  18. If P(x)=x^(2)+a x+1. If P(x) is a negative integer for only one real x...

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  19. If A=((log (2) 3)^(3)-(log (2) 6)^(3)-(log (2) 12)^(3)+(log (2) 24)^(3...

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  20. If a, b and c be the roots of 3 x^(3)+8 x+7=0, then the value of (a+b)...

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