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

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

Text Solution

Verified by Experts

The correct Answer is:
17, 18, -17, -18
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    NCERT BANGLISH|Exercise EXERCISE - 5.3|16 Videos

  • QUADRATIC EQUATIONS

    NCERT BANGLISH|Exercise EXERCISE - 5.4|8 Videos

  • QUADRATIC EQUATIONS

    NCERT BANGLISH|Exercise EXERCISE - 5.1|12 Videos

  • PROGRESSIONS

    NCERT BANGLISH|Exercise OPTIONAL EXERCISE (FOR EXTENSIVE LEARNING)|7 Videos

  • REAL NUMBERS

    NCERT BANGLISH|Exercise OPTIONAL EXERCISE|5 Videos

Similar Questions

Explore conceptually related problems

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

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.

Let x and x+2 be two consecutive even positive integers, such that xgt12 and the sum of the integers is less than 39. Find all possible pairs of such integers.

Find all possible pairs of consecutive even positive integers such that each of them is greater than 15 and their sum is less than 49.

Find two consecutive numbers whose squares have the sum 85_____

Represent the following situations in the form of quadratic equation: The product of two consecutive positive integers is 306. We need to find the integers.

If the mean of the five consecutive positive integers is 12, find the mean of the least and the highest value.

Find two positive numbers whose sum is 15 and the sum of whose squares is minimum.

If the roots of the cubic equation, x^3+a x^2+b x+c=0 are three consecutive positive integers, then the value of (a^2//(b+1)) is equal to?

NCERT BANGLISH-QUADRATIC EQUATIONS-EXERCISE - 5.2
  1. Find the roots of the quadratic equations by factorisation: x^(2)-3...

    Text Solution

    |

  2. Find the roots of the quadratic equations by factorisation: 2x^(2)+x...

    Text Solution

    |

  3. Find the roots of the quadratic equations by factorisation: sqrt(2)x...

    Text Solution

    |

  4. Find the roots of the quadratic equations by factorisation: 2x^(2)-x...

    Text Solution

    |

  5. Find the roots of the quadratic equations by factorisation: 100x^(2)...

    Text Solution

    |

  6. Find the roots of the quadratic equations by factorisation: x(x+4)=1...

    Text Solution

    |

  7. Find the roots of the quadratic equations by factorisation: 3x^(2)-5...

    Text Solution

    |

  8. Find the roots of the quadratic equations by factorisation: x-(3)/(x...

    Text Solution

    |

  9. Find the roots of the quadratic equations by factorisation: 3(x-4)^(...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. Find the dimensions of a rectangle whose perimeter is 28 meters and wh...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. A motor boat heads upstream a distance of 24 km in a river whose curre...

    Text Solution

    |