Home
Class 10
MATHS
The difference between squares of two nu...

The difference between squares of two numbers is 120. The square
of smaller number is twice the greater number. Find the numbers.

Text Solution

Verified by Experts

The correct Answer is:
The smaller number is `sqrt(24)` and greater number is 12 or smaller number is `-sqrt(24)` and greater number is 12.
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    TARGET PUBLICATION|Exercise Multiple Choice Questions|32 Videos

  • QUADRATIC EQUATIONS

    TARGET PUBLICATION|Exercise Additional problems for Practice : Based on practice set 2.1|23 Videos

  • QUADRATIC EQUATIONS

    TARGET PUBLICATION|Exercise Practice set 2.6|19 Videos

  • PYTHAGORAS THEOREM

    TARGET PUBLICATION|Exercise Chapter Assessment|13 Videos

  • QUESTION FROM STD. IX

    TARGET PUBLICATION|Exercise Statistics|11 Videos

Similar Questions

Explore conceptually related problems

Sum of two numbers is 45 and the greater number is twice the smaller number. Find the numbers.

Two numbers differ by 3.The sum of twice the smaller number and thrice the greater number is 19. Find the numbers.

Two numbers differ by 3. The sum of twice the smaller number and thrice the greater number is 19. Find the numbers.

Difference between two numbers is 30. Twice the greater number is less than 7 times the smaller number by 5. Find the numbers.

Two numbers differ by 3. The sum of the greater number and twice the smaller number is 15. Find the smaller numbers.

The sum of squares of two consecutive even natural number is 244. Find the numbers.

If the difference between two numbers is 36 and one number is 4 times the other number, then the numbers are

The sum of two numbers is 146 and their difference is 18. Find the numbers.

TARGET PUBLICATION-QUADRATIC EQUATIONS-probelm set - 2
  1. Find quadratic equation such that its roots are square of sum of the r...

    Text Solution

    |

  2. Mukund possesses RS 50 more than what Sagar possesses. The product of ...

    Text Solution

    |

  3. The difference between squares of two numbers is 120. The square of ...

    Text Solution

    |

  4. Ranjana wants to distribute 540 oranges among some students. If 30 s...

    Text Solution

    |

  5. Mr. Dinesh owns an agricultural farm at village Talvel. The length of ...

    Text Solution

    |

  6. A tank fills completely in 2 hours if both the taps are open. If only ...

    Text Solution

    |

  7. Which one is the quadratic equation?

    Text Solution

    |

  8. Out of the following equations which one is not a quadratic equation...

    Text Solution

    |

  9. The roots of x^2+kx+k=0 are real and equal. Find K. a)0 b)4 c)0 or 4 d...

    Text Solution

    |

  10. Choose the correct answer for the following questions. (iv) For sqrt...

    Text Solution

    |

  11. Choose the correct answer for the following questions. (v) Which of ...

    Text Solution

    |

  12. Choose the correct answer for the following questions. (vi) Out of t...

    Text Solution

    |

  13. sqrt(5)m^(2)-sqrt(5)m+sqrt(5)=0 which of the following statement is tr...

    Text Solution

    |

  14. Choose the correct answer for the following questions. (viii) One of...

    Text Solution

    |

  15. Which of the following equation is quadratic? (i) x^2+2x+11=0.

    Text Solution

    |

  16. Which of the following equation is quadratic? (ii) x^2-2x+5=x^2.

    Text Solution

    |

  17. Which of the following equation is quadratic? (iii) (x+2)^2=2x^2

    Text Solution

    |

  18. Find the value of discriminat for each of the following equations. (...

    Text Solution

    |

  19. Find the value of discriminat for each of the following equations. (...

    Text Solution

    |

  20. Find the value of discriminat for each of the following equations. (...

    Text Solution

    |