Home
Class 9
MATHS
If x^3-1/(x^3)=14 , then x-1/x=? (a)5 ...

If `x^3-1/(x^3)=14 ,` then `x-1/x=?` (a)5 (b) 4 (d) 3 (d) 2

Text Solution

AI Generated Solution

To solve the equation \( \frac{x^3 - 1}{x^3} = 14 \) and find the value of \( x - \frac{1}{x} \), we can follow these steps: ### Step 1: Rewrite the given equation We start with the equation: \[ x^3 - \frac{1}{x^3} = 14 \] ...
Promotional Banner

Topper's Solved these Questions

  • AREA OF PARALLELOGRAMS AND TRIANGLES

    RD SHARMA|Exercise All Questions|205 Videos

Similar Questions

Explore conceptually related problems

If x^(3)+(1)/(x^(3))=110, then x+(1)/(x)=5 (b) 10 (c) 15 (d) none of these

If x^(4)+(1)/(x^(4))=623, then x+(1)/(x)=27(b)25 (c) 3sqrt(3)(d)-3sqrt(3)

If x+(1)/(x)=2, then x^(3)+(1)/(x^(3))=64(b)14(c)8(d)2

If x/2+1/3=1, then x= 3/4 (b) 4/3 -3/4 (d) (-4)/3

If 2x+(5)/(3)=(1)/(4)x+4, then x=3(b)4(3)/(4) (d) (4)/(3)

If tan^(-1)3+tan^(-1)x=tan^(-1)8 , then x= (a) 5 (b) 1//5 (c) 5//14 (d) 14//5

If "x=sqrt(5)+2",then "x-(1)/(x)" equals: (a) "4," (b) "3," (c) "2," (d) "1"

If (x^(2)+(1)/(x^(2)))=34, then (x+(1)/(x)) is equal to (a)3(b)4(c)5(d) None of these is equal

IF ax^3+bx^2+cx+d = |(x^2,(x-1)^2, (x-2)^2),((x-1)^2 (x-2)^2, (x-3)^2), (x-2)^2, (x-3)^2, (x-4)^2)| , then d= (A) 1 (B) -8 (C) 0 (D) none of these

If 2x-(3)/(2)=5x+(3)/(4), then x=(3)/(4)(b)-(3)/(4)(4)/(3)(d)-(4)/(3)

RD SHARMA-ALGEBRAIC IDENTITIES-All Questions
  1. If x^2+1/(x^2)=102 , then x-1/x=? (a)8 (b) 10 (c) 12 (d) 13

    Text Solution

    |

  2. If x^3+1/(x^3)=110 , then x+1/x=? (a)5 (b) 10 (c) 15 (d) none of ...

    Text Solution

    |

  3. If x^3-1/(x^3)=14 , then x-1/x=? (a)5 (b) 4 (d) 3 (d) 2

    Text Solution

    |

  4. If x^4+1/(x^4)=194 , find x^3+1/(x^3),x^2+1/(x^2) and x+1/x

    Text Solution

    |

  5. If x-1/x=(15)/4, then x+1/x\ =? (a)4 (b) (17)/4 (c) (13)/4\ (d...

    Text Solution

    |

  6. If 3x+2/x=7, then (9x^2-4/(x^2))=? (a)25 (b) 35 (c) 49 (d) 30

    Text Solution

    |

  7. If a^2+b^2+c^2-a b-b c-c a=0, then a+b=c b+c=a c+a=b a=b=c

    Text Solution

    |

  8. If a+b+c=0 , then (a^2)/(b c)+(b^2)/(c a)+(c^2)/(a b)=?\ (a)0 (b) ...

    Text Solution

    |

  9. If a^(1/3)+\ b^(1/3)+\ c^(1/3)=0 then (a)a+b+c=0 (b) (a+b+c)^3=27\ a...

    Text Solution

    |

  10. If a+b+c=9 and a b+b c+c a=23 , then a^2+b^2+c^2=? (a)35 (b) 58 (c)...

    Text Solution

    |

  11. If a+b+c=9 and a b+b c+c a=23 , then a^3+b^3+c^3-3a b c=? (a)108 (b) ...

    Text Solution

    |

  12. (a-b)^3 + (b-c)^3 + (c-a)^3=? (a)(a+b+c)(a^2+b^2+c^2-ab-bc-ac) (b)3(...

    Text Solution

    |

  13. Simplify: ((a^2-b^2)^3+(b^2-c^2)^3+(c^2-a^2)^3)/((a-b)^3+(b-c)^3+(c-a)...

    Text Solution

    |

  14. The product (a+b)(a-b)(a^2-a b+b^2)(a^2+a b+b^2) is equal to: (a)a^6+b...

    Text Solution

    |

  15. If a/b+b/a=\ -1, then a^3-b^3=? (a)1 (b) -1 (c) 1/2 (d) 0

    Text Solution

    |

  16. The product (x^2-1)(x^4+x^2+1) is equal to: (a)x^8-1 (b) x^8+1 (...

    Text Solution

    |

  17. If a-b=-8\ \ a n d\ \ a b=-12 , then a^3-b^3=? (a)-244 (b) -240 ...

    Text Solution

    |

  18. If the value of a cuboid is 3x^2-27 , then its possible dimensions ar...

    Text Solution

    |

  19. If a/b+b/a=1, then a^3+b^3=? (a)1 (b) -1 (c) 1/2 (d) 0

    Text Solution

    |

  20. 75 \xx\ 75-2 \xx\ 75 \xx\ 25+25 \xx\ 25 is equal to=? (a)10000       ...

    Text Solution

    |