Home
Class 10
MATHS
Find two consecutive positive integers, ...

Find two consecutive positive integers, sum of whose squares is 613.

Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    BEYOND PUBLICATION|Exercise EXAMPLE|135 Videos

  • PROGRESSIONS

    BEYOND PUBLICATION|Exercise EXERCISE|259 Videos

  • QUESTION PAPER

    BEYOND PUBLICATION|Exercise EXERCISE|55 Videos

Similar Questions

Explore conceptually related problems

Find two consecutive odd positive integers, sum of whose squares is 290.

Find the consecutive positive integers, sum of whose squares is 145.

Find two consecutive positive even integers, the sum of whose squares is 340.

The two consecutive positive odd integers such that the sum of their squares is 290 are

Sum of the squares of two consecutive positive even integers is 100 , find those numbers by using quadratic equations.

Find all pairs of consecutive odd positive integers both of which are smaller than 10 such that their sum is more than 11.

Find all pairs of consecutive even positive integers, both of which are larger than 5 such that their sum is less than 23.

Sum of negative and a positive integer is

Find two positive integers whose sum is 16 and the sum of squares is minimum.

BEYOND PUBLICATION-QUADRATIC EQUATIONS-EXAMPLE
  1. Find the roots of the following quadratic equations by factorisation ...

    Text Solution

    |

  2. Find two numbers whose sum is 27 and product is 182.

    Text Solution

    |

  3. Find two consecutive positive integers, sum of whose squares is 613.

    Text Solution

    |

  4. The altitude of a right triangle is 7 cm less than its base. If the hy...

    Text Solution

    |

  5. A cottage industry produces a certain number of pottery articles in a ...

    Text Solution

    |

  6. Find the dimensions of a rectangle whose perimeter is 28 meters. And w...

    Text Solution

    |

  7. The base of a triangle is 4cm longer than its altitude. If the area of...

    Text Solution

    |

  8. Two trains leave a railway station at the same time. The first train t...

    Text Solution

    |

  9. In a class of 60 students, each boy contributed rupees equal to the nu...

    Text Solution

    |

  10. A motor boat heads upstream a distance of 24km on a river whose curren...

    Text Solution

    |

  11. Find the roots of the equation 5x^(2) - 6x - 2 = 0 by the method of co...

    Text Solution

    |

  12. Find the roots of 4x^(2) + 3x + 5 = 0 by the method of completing the ...

    Text Solution

    |

  13. Find two consecutive odd positive integers, sum of whose squares is 29...

    Text Solution

    |

  14. A rectangular park is to be designed whose breadth is 3 m less than it...

    Text Solution

    |

  15. Find the roots of the following quadratic equations, if they exist. ...

    Text Solution

    |

  16. Find the roots of the following quadratic equations, if they exist. ...

    Text Solution

    |

  17. Find the roots of the following equations: x + 1/x = 3, x ne 0

    Text Solution

    |

  18. Find the roots of the following equations: 1/x - 1/(x - 2) = 3 , x n...

    Text Solution

    |

  19. A motor boat whose speed is 18km/h in still water. It takes 1 hour mor...

    Text Solution

    |

  20. Solve the equations by completing the square. x^(2) - 10x + 9 = 0

    Text Solution

    |