Home
Class 10
MATHS
3((3x-1)/(2x+3))-2((2x+3)/(3x-1))=5, x!=...

`3((3x-1)/(2x+3))-2((2x+3)/(3x-1))=5, x!=1/3,-3/2`

Text Solution

Verified by Experts

The correct Answer is:
`x=-7" or "x=0`
Putting `(3x-1)/(2x+3)=y`, the given equation becomes
`3y-(2)/(y)=5implies3y^(2)-5y-2=0implies3y^(2)-6y+y-2=0.`
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    RS AGGARWAL|Exercise Exercise 4B|16 Videos

  • QUADRATIC EQUATIONS

    RS AGGARWAL|Exercise Exercise 4C|36 Videos

  • QUADRATIC EQUATIONS

    RS AGGARWAL|Exercise Test Yourself|55 Videos

  • PROBABILITY

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|37 Videos

  • REAL NUMBERS

    RS AGGARWAL|Exercise Test Youself|20 Videos

Similar Questions

Explore conceptually related problems

Solve: 2((2x-1)/(x+3))-3((x+3)/(2x-1))=5,xne-3,(1)/(2).

2 ((2x-1) / (x + 3))-3 ((x + 3) / (2x-1)) = 5

(x+3)/(2x+3)=(x+1)/(3x+2)

3-2(x-2)=5(2x+3)-2x(3x+1)

Solve for x:((3x+1)/(x-2))-10((x-2)/(3x+1))=3;[x!=2,(-1)/(3)]

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

Evaluate (x + 2)/((x + 1)(2x+ 3)) - (2x + 3)/((x + 1)(x + 2)) + (3x + 5)/((2x + 3)(x + 2))

Value of ((x-1)^(3)+(2x-1)^(3)-(3x2)^(3))/((x-1)(2x-1)(3x-2)) is equal to (A)-3(B)0(C)1(D)3

RS AGGARWAL-QUADRATIC EQUATIONS -Exercise 4A
  1. Solve each of the following quadratic equations: (3)/(x+1)-(1)/(2)=...

    Text Solution

    |

  2. Solve each of the following quadratic equations: (i)(1)/(x-1)-(1)/(x...

    Text Solution

    |

  3. Solve for: 1/(2a+b+2x)=1/(2a)+1/b+1/(2x)

    Text Solution

    |

  4. Solve each of the following quadratic equations: (x+3)/(x-2)-(1-x)/(...

    Text Solution

    |

  5. Solve each of the following quadratic equations: (3x-4)/(7)+(7)/(3x-4...

    Text Solution

    |

  6. Solve each of the following quadratic equations: (i) (x)/(x-1)+(x-1)...

    Text Solution

    |

  7. Solve each of the following quadratic equations: (x)/(x+1)+(x+1)/(x)...

    Text Solution

    |

  8. Solve each of the following quadratic equations: (x-4)/(x-5)+(x-6)/(...

    Text Solution

    |

  9. Solve each of the following quadratic equations: (x-1)/(x-2)+(x-3)/(...

    Text Solution

    |

  10. Solve each of the following quadratic equations: (1)/(x-2)+(2)/(x-1)...

    Text Solution

    |

  11. Solve each of the following quadratic equations: (i) (1)/(x+1)+(2)/(...

    Text Solution

    |

  12. 3((3x-1)/(2x+3))-2((2x+3)/(3x-1))=5, x!=1/3,-3/2

    Text Solution

    |

  13. 3((7x+1)/(5x-3))-4((5x-3)/(7x+1))=11 ; x!=3/5,-1/7

    Text Solution

    |

  14. Solve each of the following quadratic equations: ((4x-3)/(2x+1))-10(...

    Text Solution

    |

  15. Solve each of the following quadratic equations: ((x)/(x+1))^(2)-5((x...

    Text Solution

    |

  16. Solve each of the following quadratic equations: (a)/((x-b))+(b)/((x-...

    Text Solution

    |

  17. Solve each of the following quadratic equations: (a)/((ax-1))+(b)/((b...

    Text Solution

    |

  18. Solve each of the following quadratic equations: 3^((x+2))+3^(-x)=10

    Text Solution

    |

  19. Solve each of the following quadratic equations: 4^((x+1))+4^((1-x))...

    Text Solution

    |

  20. Solve each of the following quadratic equations: 2^(2x)-3.2^((x+2))+3...

    Text Solution

    |