Home
Class 14
MATHS
The number of real solutions of equation...

The number of real solutions of equation `2^(x/2)+(sqrt2+1)^x=(5+2sqrt2)^(x/2)` is

A

one

B

four

C

six

D

infinite

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    ARIHANT SSC|Exercise EXERCISE(LEVEL 2)|20 Videos

  • THEORY OF EQUATIONS

    ARIHANT SSC|Exercise INTRODUCTORY EXERCISE - 14.1|40 Videos

  • SQUARE ROOT AND CUBE ROOT

    ARIHANT SSC|Exercise EXERCISE (C ) HIGHER SKILL LEVEL QUESTIONS|14 Videos

  • TIME AND WORK

    ARIHANT SSC|Exercise Final Round|15 Videos

Similar Questions

Explore conceptually related problems

The number of real solutions of equation 2^((x)/(2))+(sqrt(2)+1)^(x)=(5+2sqrt(2))^((1)/(2)) is

The number of real solution of the equation x^(2)=1-|x-5| is

The number of real solutions of the equation (x^(2))/(1-|x-5|)=1 is

The number of solutions of the equation x^(log_(sqrt(x))2x)=4

The number of real solutions of the equation (5+2sqrt(6))^(x^(2-3))+(5-2sqrt(6))^(x-3)=10 is-

The number of real solutions of the equations x+sqrt(x^(2)+sqrt(x^(3)+1))=1

The number of real solutions of the equation sqrt(1+cos2x) = sqrt(2)cos^(-1)(cosx) in [pi/2,pi] is

The number of solutions of the equation x^("log"sqrt(x)^(2x)) =4 is

ARIHANT SSC-THEORY OF EQUATIONS-EXERCISE(LEVEL 1)
  1. If the roots of ax^(2) + bx + c = 0 (a gt 0) be each greater than unit...

    Text Solution

    |

  2. The number of real solutions of x-1/(x^2-4)=2-1/(x^2-4) is equal to

    Text Solution

    |

  3. The number of real solutions of equation 2^(x/2)+(sqrt2+1)^x=(5+2sqrt2...

    Text Solution

    |

  4. If x y=2(x+y),xlt=ya n dx ,y in N , then the number of solutions of t...

    Text Solution

    |

  5. The quadratic equation ax^(2)+bx+c=0 has real roots if:

    Text Solution

    |

  6. The equation |x+1||x-1|=a^(2) - 2a - 3 can have real solutions for x, ...

    Text Solution

    |

  7. p, q, r in R and k is a prime number such that p+qk^(1//3)+rk^(2//3)=0...

    Text Solution

    |

  8. The set of values of p for which the expression x^(2) −2px+3p+4...

    Text Solution

    |

  9. For a<0, deterine all real roots of the equation x^2-2a|x-a|-3a^2=0.

    Text Solution

    |

  10. The average of five consecutive even numbers is 40. What is the smalle...

    Text Solution

    |

  11. Solve : (5+2sqrt6)^(x^(2)-3) +(5-2sqrt6)^(x^(2)-3) = 10

    Text Solution

    |

  12. If a, b in {1, 2, 3, 4}, then the number of quadratic equations of the...

    Text Solution

    |

  13. The minimum value of the expression a+(1)/(a), a gt0 is :

    Text Solution

    |

  14. If a^2+b^2+c^2=1 then ab+bc+ca lies in the interval

    Text Solution

    |

  15. The number of integral value(s) of x satisfying the equation ∣ ∣ ∣ ​...

    Text Solution

    |

  16. Number of value sof x satisfying the equation (15+4sqrt(14))^(t)+(15-4...

    Text Solution

    |

  17. The inequality |2x-3|lt1 is valid when x lies in the interval :

    Text Solution

    |

  18. Let a, be the roots of the equation x^2+x+1=0. The equation whose root...

    Text Solution

    |

  19. The value of p for which the difference between the roots of the equat...

    Text Solution

    |

  20. If x gt 0 and xy =1, the minimum value of (x + y) is

    Text Solution

    |