Home
Class 12
MATHS
Find the number of positive integers x f...

Find the number of positive integers x for which
`f(x) = x^(3) - 8 x^(2) + 20x - 13`, is prime number.

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Number of positive integers x for which f(x)=x^3-8x^2+20 x-13 is a prime number is______.

Number of positive integers x for which f(x)=x^3-8x^2+20 x-13 is a prime number is______.

Find the number of real roots of the equation f(x) =x^(3) + 2x^(2) +x +2 =0

Find the number of positive integers satisfying the inequality x^(2) -10x+16lt 0.

Find the number of positive integers satisfying the inequality x^(2) -10x+16lt 0.

Find the number of positive integers x satisfying the equation 1/x + 1/(x+1) + 1/(x+2) = 13/12 .

Find the number of non-negative intergral solutions of x_(1)+x_(2)+x_(3)+x_(4)=20 .

Number of positive integral solution of the equation |x^(2)-3x-3| gt |x^(2)+7x-13| is/are

Find number of roots of f(x) where f(x) = 1/(x+1)^3 -3x + sin x

Find the number of integral vaues of 'a' for which the range of function f (x) = (x ^(2) -ax +1)/(x ^(2) -3x+2) is (-oo,oo),

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Let P""=""(-1,""0),""Q""=""(0,""0)""a n d""R""=(3,""3sqrt(3)) be th...

    Text Solution

    |

  2. The value of k so that the equation 12 x^2-10 x y+2y^2+11 x-5y+k=0 rep...

    Text Solution

    |

  3. Find the number of positive integers x for which f(x) = x^(3) - 8 x^...

    Text Solution

    |

  4. If |x|+|x-5|=6 and x<0, then (x+3/2) is equal to

    Text Solution

    |

  5. If (x1, y1)&(x2,y2) are the ends of a diameter of a circle such that x...

    Text Solution

    |

  6. The value of x satisfying the equation (6x+2a+3b+c)/(6x+2a-3b-c)=(2x+6...

    Text Solution

    |

  7. The expression \(root(3)root(6){a^{9}))^4 \(root(6)root(3){a^{9}))^4...

    Text Solution

    |

  8. The least natural number satisfying the inequation (x-1)/x-(x+1)/(x-1)...

    Text Solution

    |

  9. A straight line through the point A (-2,-3) cuts the line x+3y=0 and x...

    Text Solution

    |

  10. The largest integral value of x which satisfies the inequality (4x+19)...

    Text Solution

    |

  11. If x=(7+5sqrt(2))^(1/3) -1/((7+5sqrt(2))^(1/3) , then the value of x^3...

    Text Solution

    |

  12. Solution set of the inequation (x^2+4x+4)/(2x^2-x-1)>0, is x in (-oo,...

    Text Solution

    |

  13. Length of intercepts made by circle x^2+y^2-6sqrt(2)x-6y+9=0 on x and ...

    Text Solution

    |

  14. If p: Ashok works hard: q: Ashok gets good grade The verbal form for (...

    Text Solution

    |

  15. The number N=(1+2log(3)2)/((1+log(3)2)^(2))+(log(6)2)^(2) when simplif...

    Text Solution

    |

  16. The lines 12 x-5y-17=0&24 x-10 y+44=0 are tangents to the same circle....

    Text Solution

    |

  17. cos(2001)pi+cot(2001)(pi)/(2) +sec(2001)(pi)/(3) +tan(2001)(pi)/(4)+co...

    Text Solution

    |

  18. The equation (log)2(2x^2)+(log)2xdotx^((log)x((log)2x+1))+1/2log4 2(x^...

    Text Solution

    |

  19. If the lines x^2+2x y-35 y^2-4x+44 y-12=0a n d5x+lambday-8 are concur...

    Text Solution

    |

  20. The number of integral values of 'm' less than 50, so that the roots o...

    Text Solution

    |