Home
Class 10
MATHS
The sum of a number and its positive squ...

The sum of a number and its positive square root is 6/25.Find the number.

Text Solution

Verified by Experts

Let the number be `x^{2}`.
`\therefore` Square root `=x`.
Now, `x^{2}+x=\frac{6}{25}`.
`\text { or, } 25 x^{2}+25 x-6=0 . `
...
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    RD SHARMA|Exercise All Questions|183 Videos
  • REAL NUMBERS

    RD SHARMA|Exercise All Questions|180 Videos

Similar Questions

Explore conceptually related problems

Difference between a number and its positive square root is 12. Find the number.

The sum of a natural number and its positive square root is 132. Find the number.

A positive number exceed its positive square root by 30. Find the number. (A) 16 (B) 36 (C) 25 (D)49

The sum of a natural number and its square is 156. Find the number.

If the sum of a positive number and its square is 240 , then find the number

The sum of a number and its square is 63/4 find the numbers.

The sum of a number and its square is 20. Then the number is

The sum of a rational number and its reciprocal is (13)/(6). Find the number.

Find the positive square root of 6-sqrt(20) .

RD SHARMA-QUADRATIC EQUATIONS-All Questions
  1. A peacock is sitting on the top of a pillar, which is 9m high. From a ...

    Text Solution

    |

  2. The difference of two numbers is 4.If the difference of their reciproc...

    Text Solution

    |

  3. The sum of a number and its positive square root is 6/25.Find the numb...

    Text Solution

    |

  4. If a integer is added to its square, the sum is 90. Find the integer ...

    Text Solution

    |

  5. Two squares have sides x c m and (x+4) . The sum of their areas is 656...

    Text Solution

    |

  6. Two number differ by 4 and their product is 192. Find the number.

    Text Solution

    |

  7. Two numbers differ by 3 and their product is 504. Find the number.

    Text Solution

    |

  8. The sum of two numbers is 16. The sum of their reciprocals is 1/3. Fin...

    Text Solution

    |

  9. The sum of the squares of three consecutive natural numbers is 149. ...

    Text Solution

    |

  10. The sum of two numbers is 18. The sum of their reciprocals is ¼. Find ...

    Text Solution

    |

  11. The difference of the squares of two positive integers is 180. The ...

    Text Solution

    |

  12. The area of a rectangular plot is 528m^2dot The length of the plot (in...

    Text Solution

    |

  13. A swimming pool is filled by three pipes with uniform flow. The fir...

    Text Solution

    |

  14. There is a square field whose side is 44m. A square flower bed is p...

    Text Solution

    |

  15. The area of a right angled triangle is 165m^2 . Determine its base and...

    Text Solution

    |

  16. The length of the sides forming right angle of a right angled triangle...

    Text Solution

    |

  17. The area of an isosceles triangle is 60c m^2 and the length of each on...

    Text Solution

    |

  18. The area of a right angled triangle is 600c m^2dot If the base of the ...

    Text Solution

    |

  19. The perimeter of a rectangular field is 82 cm and its area is 400m^2 ....

    Text Solution

    |

  20. If twice the area of a smaller square is subtracted from the area of a...

    Text Solution

    |