Home
Class 10
MATHS
If p and q are the roots of x^(2)-ax+b=0...

If p and q are the roots of `x^(2)-ax+b=0`, find the value of `(1)/(p^(3))+(1)/(q^(3))`.

Text Solution

Verified by Experts

The correct Answer is:
`(a^(3)-3ab)/(b^(3))`
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    CENGAGE|Exercise TEST YOURSELF (Multiple Choice Questions) |22 Videos

  • QUADRATIC EQUATIONS

    CENGAGE|Exercise OLYMPIAD AND NTSE LEVEL EXERCISES |10 Videos

  • QUADRATIC EQUATIONS

    CENGAGE|Exercise TEST YOURSELF (Level 2)|33 Videos

  • PROGRESSIONS

    CENGAGE|Exercise OLYMPIAD AND NTSE LEVEL EXERCISE |10 Videos

  • RATIONAL EXPRESSIONS

    CENGAGE|Exercise Olympiad and ntse level exercises |10 Videos

Similar Questions

Explore conceptually related problems

If p and q are the roots of x^(2)+px+q=0 then find p.

If p and q are the roots of ax^(2)-bx+c=0,a!=0, then find the value of p+q.

If p/q=(2/3)^2-:(6/7)^0, find the value of (q/p)^3

find the value of x:(1)/(x+p+q)=(1)/(x)+(1)/(p)+(1)/(q)

If p and q are the roots of the quadratic equation x^(2)+px-q=0 , then find the values of p and q.

If p/q = ( -1 /3 )^-3 ÷ ( 2/3 )^-4 , find the value of ( p/q )^-1

If the roots of ax^(2)+ax+c=0 are in the ratio p:q then sqrt((p)/(q))+sqrt((q)/(p))

CENGAGE-QUADRATIC EQUATIONS -TEST YOURSELF (Level 3)
  1. Discuss the nature of the roots of the following : 4x^(2)-12x+15=0

    Text Solution

    |

  2. For what value of k will 18x^(2)-kx+2=0 have equal roots ?

    Text Solution

    |

  3. If p and q are the roots of x^(2)-ax+b=0, find the value of (1)/(p^(3)...

    Text Solution

    |

  4. Find the quadratic equation one of whose roots is p+sqrt(q).

    Text Solution

    |

  5. The sum of the squares of two consecutive natural numbers is 145. Find...

    Text Solution

    |

  6. The length of a rectangle is greater than twice its breadth by 2 cm. T...

    Text Solution

    |

  7. In a rectangular mango grove, the number of trees lengthwise is 5 more...

    Text Solution

    |

  8. The sum of the reciprocals of two consecutive odd natural numbers is (...

    Text Solution

    |

  9. A car covers a distance of 300 km with the same speed, it will cover t...

    Text Solution

    |

  10. A cistern can be filled by two pipes in 33(1)/(3) minutes, if the larg...

    Text Solution

    |

  11. One - fourth of a herd of camels was seen in the forest. Twice the squ...

    Text Solution

    |

  12. a motorboat, whose speed in still water is 15 km/h, goes 30 km downstr...

    Text Solution

    |

  13. A passenger train takes 3 hours less for a journey of 360 km. If its s...

    Text Solution

    |

  14. In a flight of 600 km, an aircraft was slowed down due to bad weather....

    Text Solution

    |

  15. Find the roots of the following, drawing the graphs in two ways : x^...

    Text Solution

    |

  16. Find the roots of the following, drawing the graphs in two ways : 2-...

    Text Solution

    |

  17. Find the roots of the following, drawing the graphs in two ways : x^...

    Text Solution

    |

  18. Find the roots of the following, drawing the graphs in two ways : x^...

    Text Solution

    |

  19. Find the roots of the following, drawing the graphs in two ways : 2x...

    Text Solution

    |

  20. Find the minimum value of the following and find the value of x for wh...

    Text Solution

    |