Home
Class 10
MATHS
Solve for: (x-4)/(x-5)+(x-6)/(-x-7)=10/...

Solve for: `(x-4)/(x-5)+(x-6)/(-x-7)=10/3; x!=5,7`

Text Solution

Verified by Experts

Given,
`(x-4)/(x-5)+(x-6)/(x-7)=10/3`
`=>((x-4)(x-7)+(x-6)(x-5))/((x-5)(x-7))=10/3`
`=>(x^2-11x+28+x^2-11x+30)/(x^2-12x+35)=(10)/3`
`=>(2x^2-22x+58)/(x^2-12x+35)=(10)/3`
...
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

Solve for x : (x)/(5) + (x)/(7) = 12

Solve each of the following quadratic equations: (x-4)/(x-5)+(x-6)/(x-7)=3(1)/(3),xne5,7

Solve for x: (x-3)/(x-4)+(x-5)/(x-6)=(10)/(6),xne4,6

Solve for x : 7x-(4x-3)=2x-5

Solve : (5x - 2)/(3) lt (4x-7)/(2)

Solve: (3x)/(7)-(4)/(35)=(2x)/(5)

Solve ((x-3)(x+5)(x-7))/(|x-4|(x+6))le0

Solve for x : (3x -2)/(5x + 7) = (1)/(12)

if f'(x)=(x -4) (x-5) (x-6) (x-7) then.

RD SHARMA-QUADRATIC EQUATIONS-All Questions
  1. While boarding an aeroplane, a passenger got hurt. The pilot showing p...

    Text Solution

    |

  2. Solve for: 4/x-3=5/(2x+3),x!=0,,-3/2

    Text Solution

    |

  3. Solve for: (x-4)/(x-5)+(x-6)/(-x-7)=10/3; x!=5,7

    Text Solution

    |

  4. Solve for : (5+x)/(5-x)-(5-x)/(5+x)=3 3/4; x!=5,-5

    Text Solution

    |

  5. Solve for : 3/(x+1)-1/2=2/(3x-1),x!=3/5,-1/7

    Text Solution

    |

  6. Solve for : 2/(x+1)+3/(2(x-2))=(23)/(5x);x!=0,-1,2

    Text Solution

    |

  7. Find the roots of the following equation 4x^2+4b x-(a^2-b^2)=0 by the ...

    Text Solution

    |

  8. Find the roots of the equation a^2x^2-3a b x+2b^2=0 by the method of c...

    Text Solution

    |

  9. Solve the equation x^2-(sqrt(3)+1)x+sqrt(3)=0 by the method of complet...

    Text Solution

    |

  10. Find the roots of the quadratic equations (if they exist) by the metho...

    Text Solution

    |

  11. Find the roots of the quadratic equations (if they exist) by the metho...

    Text Solution

    |

  12. If the roots of the equation x^2+2c x+a b=0 are real unequal, prove th...

    Text Solution

    |

  13. If p , q , ra n ds are real numbers such that p r=2(q+s), then show th...

    Text Solution

    |

  14. Find the values of k for which the equation x^2+5k x+16=0 has no real ...

    Text Solution

    |

  15. If p , qr are real and p!=q , then show that the roots of the equation...

    Text Solution

    |

  16. If-4 is a root of the quadratic equation x^2+p x-4=0 and the quadratic...

    Text Solution

    |

  17. Find the values of k for which the following equation has equal roots:...

    Text Solution

    |

  18. Find the value of k for which the given equation has real and equal ro...

    Text Solution

    |

  19. Determine the nature of the roots of the following quadratic equations...

    Text Solution

    |

  20. Using quadratic formula, solve the following equation for x: a b x^2+...

    Text Solution

    |