Home
Class 10
MATHS
Express the equation lx^(2)+mx+n=0 in a ...

Express the equation `lx^(2)+mx+n=0` in a perfect square form.

Text Solution

Verified by Experts

The correct Answer is:
`(x+(m)/(2l))^(2)=(m^(2)-4ln)/(4l^(2))`;
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION IN ONE VARIABLE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-1.5|40 Videos

  • QUADRATIC EQUATION IN ONE VARIABLE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-1.3|43 Videos

  • PYTHAGORAS THEOREM

    CALCUTTA BOOK HOUSE|Exercise EXAMPLE 6|4 Videos

  • QUADRATIC SURDS

    CALCUTTA BOOK HOUSE|Exercise Exercise -3.2|28 Videos

Similar Questions

Explore conceptually related problems

Solve the equation 2x^(2)+x-10=0 by perfect square method.

Express the equation cx^(2)+ax+b=0,cne0 in the form of a perfect square.

Express the equation px^(2)+r=0 in the standard quadratic equation form ax^(2)+bx+c=0(ane0) .

Solve the quadratic equation alphax^(2)+betax+gamma=0 by perfect square method.

IF alpha,beta be the roots of the equation x^2+2px+2q^2=0 where p,q are rational p^2+q^2 is not a perfect square, form the quadratic equation whose one root is alpha+beta+sqrt(alpha^2+beta^2) .

Express the equation px+qy+r=0 in the form of y=mx+c where m and c are constants.

State whether the following statements are true or false. Justify your answers. (iv) n is not irrational if n is a perfect square.

State whether the following statements are true or false. Justify your answers. (v) sqrtn is irrational if n is not a perfect square.

CALCUTTA BOOK HOUSE-QUADRATIC EQUATION IN ONE VARIABLE-EXERCISE-1.4
  1. If the equation (x+p)(x-q)-r=0 is expressed in the form ax^(2)+bx+c=0(...

    Text Solution

    |

  2. Express the equation px^(2)+r=0 in the standard quadratic equation fo...

    Text Solution

    |

  3. Express the equation lx^(2)+mx+n=0 in a perfect square form.

    Text Solution

    |

  4. Solve the equation 2x^(2)+x-10=0 by perfect square method.

    Text Solution

    |

  5. What is the value of k if in the solution of the equation 7x^(2)+x-1=0...

    Text Solution

    |

  6. Solve the quadratic equation alphax^(2)+betax+gamma=0 by perfect squar...

    Text Solution

    |

  7. Solve by applying Sreedhar Acharya's formula - (b-1)x^(2)+cx+d=0

    Text Solution

    |

  8. Determine a natural number which is less by 12 than its square.

    Text Solution

    |

  9. Somen has drawn a right-angled triangle, the hypotenuse of which is 3 ...

    Text Solution

    |

  10. The speed of Laxmi is 1m /sec more than that of Salma. To travel a dis...

    Text Solution

    |

  11. In our village, Sankarbabu bought 350 chilli plants for planting in hi...

    Text Solution

    |

  12. Durgadebi went to the market and saw that the price of dal of 1 kg is ...

    Text Solution

    |

  13. Divide 50 into two parts such that the sum of their reciprocals may be...

    Text Solution

    |

  14. If the price of pins decreases 2 paise per dozen, then the buyer will ...

    Text Solution

    |

  15. A boatman can row 7 km down a river and back in 4(2)/(3) hours. If the...

    Text Solution

    |

  16. The sum of the squares of two consecutive numbers is 145. Find them.

    Text Solution

    |

  17. Divide unity into two parts such that the sum of their cubes is (7)/(...

    Text Solution

    |

  18. ax^2 +bx +c=0 is a quadratic equation then

    Text Solution

    |

  19. Find a fraction which assumes twice or thrice its orginal value when 2...

    Text Solution

    |

  20. Find the fraction less than one such that the sum of the numerator and...

    Text Solution

    |