Home
Class 11
MATHS
Solve for x :(5+2sqrt(6))^(x^2-3)+(5-2sq...

Solve for `x :(5+2sqrt(6))^(x^2-3)+(5-2sqrt(6))^(x^2-3)=10.`

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE PUBLICATION|Exercise All Questions|363 Videos

  • CONIC SECTIONS

    CENGAGE PUBLICATION|Exercise All Questions|1167 Videos

Similar Questions

Explore conceptually related problems

Solve for x : sqrt3x^2 - 2sqrt2x - 2sqrt3 = 0

Find the value of x : (sqrt(3)+sqrt(2))^(x)+(sqrt(3)-sqrt(2))^(x)=10

Solve sqrt(3x^2-7x-30)-sqrt(2x^2-7x-5)=x-5.

Factorise : 6sqrt(3)a^(2)-21a+5sqrt(3)

(sqrt(8+2x-x^2)>6-3x)

Solve sqrt(x-2)(x^2-4x-5)=0.

Solve for x, when sqrt(2x^2 + 9) + sqrt(2x^2 - 9) = 9 + 3sqrt7

Solve (x^3-4x)sqrt(x^2-1)=0.

Solve sqrt(x^2+4x-21)+sqrt(x^2-x-6)=sqrt(6x^2-5x-39.)

Solve the following: (sqrt(x^2-5x+6)+sqrt(x^2-5x+4))^(x/2)+(sqrt(x^2-5x+6) - sqrt(x^2-5x+4))^(x//2)=2^((x+4)/4)

CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. The value m for which one of the roots of x^2-3x+2m=0 is double of one...

    Text Solution

    |

  2. LetP(x)=0 be the polynomial equation of least possible degree with rat...

    Text Solution

    |

  3. The value of 'a' for which the equation x^3+ax+1=0 and x^4+ax^2+1=0, w...

    Text Solution

    |

  4. If (mr ,1/mr) where r=1,2,3,4, are four pairs of values of x and y ...

    Text Solution

    |

  5. If alpha,beta,gamma,sigma are the roots of the equation x^4+4x^3-6x^2+...

    Text Solution

    |

  6. If tantheta1,tantheta2,tantheta3 are the real roots of the x^3-(a+1)x...

    Text Solution

    |

  7. If roots of an equation x^n-1=0a r e1,a1,a2,..... a(n-1), then the v...

    Text Solution

    |

  8. If alpha,beta are the roots of a x^2+b x+c=0,(a!=0) and alpha+delta,be...

    Text Solution

    |

  9. Let f(x)=A x^2+B x+c ,w h e r eA ,B ,C are real numbers. Prove that if...

    Text Solution

    |

  10. Let S be a square of unit area. Consider any quadrilateral which has o...

    Text Solution

    |

  11. The real numbers x1, x2, x3 satisfying the equation x^3-x^2+b x+gamma=...

    Text Solution

    |

  12. Let a,b,c be real. If ax^2+bx+c=0 has two real roots alpha,beta where ...

    Text Solution

    |

  13. For alt=0 , determine all real roots of the equation x^2-2a|x-a|-3a^2=...

    Text Solution

    |

  14. Solve for x :(5+2sqrt(6))^(x^2-3)+(5-2sqrt(6))^(x^2-3)=10.

    Text Solution

    |

  15. If one root of the quadratic equation ax^2+bx+c=0 is equal to the n^th...

    Text Solution

    |

  16. If a ,b ,c in R and equations a x^2+b x+c=0 and x^2+2x+3=0 have a com...

    Text Solution

    |

  17. Find the condition that the expressions a x^2-b x y+c y^2a n da1x^2+b1...

    Text Solution

    |

  18. If x^2+(a-b)x+(1-a-b)=0. where a ,b in R , then find the values of a ...

    Text Solution

    |

  19. Let a ,b ,c be real numbers with a!=0 and alpha,beta be the roots of t...

    Text Solution

    |

  20. If the product of the roots of the equation (a+1)x^2+(2a+3)x+(3a+4)=0i...

    Text Solution

    |