Home
Class 11
MATHS
Evaluate x=sqrt(6+sqrt(6+sqrt(6+oodot)))...

Evaluate `x=sqrt(6+sqrt(6+sqrt(6+oodot)))`

Text Solution

AI Generated Solution

To evaluate \( x = \sqrt{6 + \sqrt{6 + \sqrt{6 + \cdots}}} \), we can follow these steps: ### Step 1: Set up the equation Assume that \( x \) represents the entire expression: \[ x = \sqrt{6 + x} \] ...
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE ENGLISH|Exercise All Questions|365 Videos
  • CONIC SECTIONS

    CENGAGE ENGLISH|Exercise All Questions|1344 Videos

Similar Questions

Explore conceptually related problems

The value of sqrt(6+sqrt(6+sqrt(6+))) ..........is (a) 4 (b) 3 (c) -2 (d) 3.5

Find (x+a)^(5)+(x-a)^(5) . Hence, evaluate (sqrt(6)+sqrt(7))^(5)+(sqrt(6)-sqrt(7))^(5)

Evaluate (sqrt(3)+sqrt(2))^6-(sqrt(3)-sqrt(2))^6dot

Evaluate (sqrt(3)-sqrt(2))^6+(sqrt(3)+sqrt(2))^6dot

(sqrt(-2))(sqrt(-3)) is equal to A. sqrt(6) B. -sqrt(6) C. isqrt(6) D. none of these

Evaluate : (i)sqrt(3-2sqrt(2))" "(ii)sqrt(9+6sqrt(2))

(sqrt(6+2sqrt(5)))(sqrt(6-2sqrt(5)))

The value of sqrt(5+2sqrt(6)) is (a) sqrt(3)-sqrt(2) (b) sqrt(3)+sqrt(2) (c) sqrt(5)+sqrt(6) (d) none of these

Evaluate: int1/(sqrt(16-6x-x^2))\ dx

Find (1+x)^(6) - (1-x)^(6) . Hence evaluate (1+sqrt3)^(6) - (1-sqrt3)^(6)

CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If zr : r=1,2,3, ,50 are the roots of the equation sum(r=0)^(50)z^r=0 ...

    Text Solution

    |

  2. The complex number associated with the vertices A, B, C of DeltaABC...

    Text Solution

    |

  3. Evaluate x=sqrt(6+sqrt(6+sqrt(6+oodot)))

    Text Solution

    |

  4. If a complex number z satisfies |2z+10+10 i|lt=5sqrt(3)-5, then the le...

    Text Solution

    |

  5. If 1,alpha1,alpha2, ,alpha(n-1) are the n t h roots of unity, prove t...

    Text Solution

    |

  6. If n >1 , show that the roots of the equation z^n=(z+1)^n are collinea...

    Text Solution

    |

  7. If the expression a x^4+b x^3-x^2+2x+3 has remainder 4x+3 when divided...

    Text Solution

    |

  8. If |z2+i z1|=|z1|+|z2| and|z1|=3 and |z2|=4, then the area of triangl...

    Text Solution

    |

  9. What is the locus of w if w=3/za n d|z-1|=1?

    Text Solution

    |

  10. If z is complex number, then the locus of z satisfying the condition...

    Text Solution

    |

  11. Find the remainder when x^3+4x^2-7x+6 is divided by x-1.

    Text Solution

    |

  12. What is the locus of z if ||z-cos^(-1)cos12|-|z-sin^(-1)s in 12||=8(pi...

    Text Solution

    |

  13. Use the factor theorem to find the value of k for which (a+2b),w h e ...

    Text Solution

    |

  14. If z is a complex number lying in the fourth quadrant of Argand plane ...

    Text Solution

    |

  15. If z=(lambda+3)+isqrt(5-lambda^2) then the locus of Z is

    Text Solution

    |

  16. Let z be a complex number having the argument theta ,0 < theta < pi/2,...

    Text Solution

    |

  17. Given that x^2+x-6 is a factor of 2x^4+x^3-ax^2+b x+a+b-1, find the va...

    Text Solution

    |

  18. If z is any complex number such that |3z-2|+|3z+2|=4 , then identify t...

    Text Solution

    |

  19. If p ,q ,r are positive and are in A.P., the roots of quadratic equat...

    Text Solution

    |

  20. A(z1),B(z2),C(z3) are the vertices of the triangle A B C (in anticlock...

    Text Solution

    |