Home
Class 10
MATHS
The difference between the squares of tw...

The difference between the squares of two numbers is 120. The square of the 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|24 Videos

  • QUADRATIC EQUATIONS

    TARGET PUBLICATION|Exercise Practice set 2.6|20 Videos

  • PYTHAGORAS THEOREM

    TARGET PUBLICATION|Exercise Chapter Assessment|16 Videos

  • QUESTION FROM STD. IX

    TARGET PUBLICATION|Exercise Statistics|14 Videos

Similar Questions

Explore conceptually related problems

The difference of squares of two number is 180. The square of the smaller number is 8 times the larger number. Find the two numbers.

The difference of squares of two numbers is 180. The square of the smaller number is 8 xx the larger number.Find the two numbers.

The difference of squares of two numbers is 180. The square of the smaller number is 8 xx the larger number.Find two numbers.

The difference of the squares of two numbers is 45.The square of the smaller number is 4 xx the larger number.Determine the numbers.

The difference of the squares of two positive integers is 180. The square of the smaller number is 8 xx the larger,find the numbers.

The sum of the squares of two odd numbers is 11570. The square of the smaller number is 5329. What is the other number?

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

The difference between the squares of two numbers is 256000 and the sum of the numbers is 1000. The numbers are:

TARGET PUBLICATION-QUADRATIC EQUATIONS-probelm set - 2
  1. Two roots of quadratic equations are given, frame the equation. 10 a...

    Text Solution

    |

  2. Two roots of quadratic equations are given, frame the equation. 1-3s...

    Text Solution

    |

  3. Two roots of quadratic equations are given, frame the equation. 0 an...

    Text Solution

    |

  4. Determine the nature of roots for each of the quadratic equations. 3...

    Text Solution

    |

  5. Determine the nature of roots for each of the quadratic equations. s...

    Text Solution

    |

  6. Determine the nature of roots for each of the quadratic equations. m...

    Text Solution

    |

  7. Solve the following quadratic equations : 1/(x+5)=1/x^(2)

    Text Solution

    |

  8. Solve the following quadratic equations: x^(2)-(3x)/(10)-1/(10)=0

    Text Solution

    |

  9. Solve the following quadratic equations: (2x+3)^(2)=25

    Text Solution

    |

  10. Solve the following quadratic equations : m^(2)+5m+5=0

    Text Solution

    |

  11. Solve the following quadratic equations : 5m^(2)+2m+1=0

    Text Solution

    |

  12. Solve the following quadratic equations : x^(3)-4x-3=0

    Text Solution

    |

  13. Find m if (m-12)x^2+2(m-12)x+2=0 has real and equal roots

    Text Solution

    |

  14. The sum of two roots of a quadratic equation is 5 and the sum of their...

    Text Solution

    |

  15. Find quadratic equation such that its roots are square of sum of the r...

    Text Solution

    |

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

    Text Solution

    |

  17. The difference between the squares of two numbers is 120. The square o...

    Text Solution

    |

  18. Ranjana wants to distribute 540 oranges among some students. If 30 stu...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |