Home
Class 10
MATHS
Find three consecutive integers such tha...

Find three consecutive integers such that the square of the first increased by the product of the other two gives 154.

Text Solution

Verified by Experts

The correct Answer is:
8, 9, 10
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    KUMAR PRAKASHAN|Exercise Excersice-4.4|5 Videos
  • PROBABILITY

    KUMAR PRAKASHAN|Exercise OBJECTIVE QUESTIONS (State whether each of the following statements is true or false:) |5 Videos
  • QUESTION PAPER -1

    KUMAR PRAKASHAN|Exercise SECTION D ( Answer the following as required with calculations) |1 Videos

Similar Questions

Explore conceptually related problems

Find two consecutive positive integers, sum of whose squares is 365.

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

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

If the sum of m consecutive odd integers is m^(4) , then the first integer is

Find the sum of : the first n positive integers

If the third term of G.P. is 4, then find the product of first five terms

Statement-1: The smallest positive integer n such that n! can be expressed as a product of n-3 consecutive integers, is 6. Statement-2: Product of three consecutive integers is divisible by 6.

Out of 3n consecutive integers, three are selected at random. Find the probability that their sum is divisible by 3.

Find four consecutive terms in AP whose sum is 20 and the sum of whose squares is 120.

Find the sum of the product of every pair of the first n of natural number

KUMAR PRAKASHAN-QUADRATIC EQUATIONS-Test Your Skills
  1. Check whether the following are quadratic equations : (1) (x-3)^(2)=...

    Text Solution

    |

  2. Represent the folloowing situations in the form of quadratic equations...

    Text Solution

    |

  3. The sum of the squares of two positive numbers is 233 and one number i...

    Text Solution

    |

  4. Find three consecutive integers such that the square of the first incr...

    Text Solution

    |

  5. A two digit number such tha the product of the digits is 20. If 9 is s...

    Text Solution

    |

  6. A alone takes 6 days less than the number of days taken by B alone to ...

    Text Solution

    |

  7. The denominator of a fraction is one more than twice the numerator. If...

    Text Solution

    |

  8. Find the roots of the following quadratic equations (if they exist) by...

    Text Solution

    |

  9. Using quadratic formula, solve the following quadratic equations : (...

    Text Solution

    |

  10. Solve the following for x : x^(2)+(1)/(x^(2))=(82)/(9) (2) x^(2)+(1...

    Text Solution

    |

  11. The speed of a boat in still water is 15 km/h. It can go 30 km upstrea...

    Text Solution

    |

  12. A girl is twice old as her sister. Four years hence, the product of th...

    Text Solution

    |

  13. The area of an isosceles triangle is 60cm^(2) and the length of each o...

    Text Solution

    |

  14. Two pipes running together can fill a tank in 11(1)/(9) minutes. If on...

    Text Solution

    |

  15. A shopkeeper buys a number of books for Rs. 80, If he had bought 4 mor...

    Text Solution

    |

  16. For the equation px^(2)+4sqrt(3)x+3=0, find the value of p, so that ...

    Text Solution

    |

  17. Determine k so that the equation x^(2)-3kx+64=0 has no real roots.

    Text Solution

    |

  18. The hypotenuse of a right triangle is 3sqrt(10) cm. If the smaller leg...

    Text Solution

    |

  19. Determine the positive values of k for which the equation x^(2)+kx+64=...

    Text Solution

    |