Home
Class 9
MATHS
If x+1/x=6, find : x^4+1/(x^4)...

If `x+1/x=6,` find : `x^4+1/(x^4)`

Text Solution

AI Generated Solution

To solve the problem, we need to find \( x^4 + \frac{1}{x^4} \) given that \( x + \frac{1}{x} = 6 \). ### Step-by-Step Solution: 1. **Start with the given equation:** \[ x + \frac{1}{x} = 6 \] ...
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=5-2sqrt6 then find x^4-1/x^4

If x+(1)/(x)=6, find x^(2)+(1)/(x^(2))( ii) x^(4)+(1)/(x^(4))

If x+1/x=6 then x^2+1/x^2, x^4+1/x^4

If x-1/x=5 , find the value x^(2)+1/(x^(2)) and x^(4)+1/(x^(4))

If x+(1)/(x)=4 , then find x^(3)+(1)/(x^(3))

If x^2 + 1/x^2 = 6 , find the value of x^4 + 1/x^4

If x - (1)/(x) = 2 , then find x^(4) + (1)/(x^(4)) .

If x-1/x=8 then find x^2+1/x^2 and x^4+1/x^4

If x+ (1)/(x)= sqrt3 find x^(54) + x^(30) + x^(18) + x^(6) + 4

If x+(1)/(x)=4; Find ( i ) x^(2)+(1)/(x^(2)) (ii) x^(4)+(1)/(x^(4))

RD SHARMA-ALGEBRAIC IDENTITIES-All Questions
  1. Evaluate each of the following by using identities: (i)95 xx 96 (...

    Text Solution

    |

  2. If x+(1)/(x)=6, find : x^2+ (1)/(x^2)

    Text Solution

    |

  3. If x+1/x=6, find : x^4+1/(x^4)

    Text Solution

    |

  4. If x^2+1/(x^2)=27 , find the value of each of the following: x+1/x

    Text Solution

    |

  5. If x^2+1/(x^2)=27 , find the value of each of the following: x-1/x

    Text Solution

    |

  6. If x+y=12 and x y=32 , find the value of x^2+y^2

    Text Solution

    |

  7. If 3x+2y=12 and x y=6 , find the value of 9x^2+4y^2

    Text Solution

    |

  8. If 4x^2+y^2=40\ and x y=6 , find the value of 2x+y

    Text Solution

    |

  9. Prove that: 2a^2+2b^2+2c^2-2a b-2b c-2c a=[(a-b)^2+(b-c)^2+(c-a)^2]

    Text Solution

    |

  10. If : a^2+b^2+c^2-a b-b c-c a=0 , prove that a=b=c

    Text Solution

    |

  11. Evaluate each of the following using identities: (i)(2x-1/x)^2 (ii...

    Text Solution

    |

  12. Evaluate each of the following using identities: (a^2b-b^2a)^2 (ii)...

    Text Solution

    |

  13. Evaluate each of the following using identities: (1. 5 x^2-0. 3 y^2) ...

    Text Solution

    |

  14. Evaluate each of the following using identities: (i)(399)^2(ii) (0. 98...

    Text Solution

    |

  15. Evaluate each of the following using identities: (i)991 xx 1009 (ii) 1...

    Text Solution

    |

  16. Simplify each of the following: 175 xx 175+2 xx 175 xx 25+25 xx 25

    Text Solution

    |

  17. Simplify each of the following: 322 × 322−2 × 322 × 22+22 × 22

    Text Solution

    |

  18. Simplify each of the following: 0. 76 xx 0. 76+2xx 0. 76 xx 0. 24+0. 2...

    Text Solution

    |

  19. Simplify each of the following: (7. 83 xx 7. 83-1. 17 xx 1. 17)/(6. 66...

    Text Solution

    |

  20. If x+1/x=11 , find the value of x^2+1/(x^2)

    Text Solution

    |