Home
Class 10
MATHS
The given equation x^(-1)+x=t (t=constan...

The given equation `x^(-1)+x=t` (t=constant is a _______ equation in ______ variable.

Text Solution

Verified by Experts

quadratic, one , since `x^(-1)+x=timplies(1)/(x)+x=timpliesx^(2)-tx+1=0`
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION IN ONE VARIABLE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-1.1|29 Videos
  • QUADRATIC EQUATION IN ONE VARIABLE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-1.2|26 Videos
  • PYTHAGORAS THEOREM

    CALCUTTA BOOK HOUSE|Exercise EXAMPLE 6|4 Videos
  • QUADRATIC SURDS

    CALCUTTA BOOK HOUSE|Exercise Exercise -3.2|28 Videos

Similar Questions

Explore conceptually related problems

Write true or false : The equation x+(1)/(x)=2(xne0) is not a quadratic equation in one variable.

Write true or false : The equation (x-1)^(3)=x(x^(2)-1) is a quadratic equation of one variable.

Prove that the equations x = 6 (cosec t + sin t ) and y = 15(cosec t - sin t ) where t is a variable parameter, represent a hyperbola.

For what power of the variable x, the equation x^(8)+x^(4)+1=0 is a quadratic equation ?

The highest power of the variable of the equation x-(1)/(x)=a^(2) (a=constant) is

Which of the following are equation and mention the variables of the equation. 3t = 21

Which of the following are equation and mention the variables of the equation. 7 - x =0

The quadratic equation in one variable x^(2)+1=0 have no ______ roots.

The displacement x of a particle moving in one dimension under the action of a constant force is related to time t by the equation t = sqrt(x+3) where x is in meters and t is in seconds. Finds the displacement (in metres ) of the particle when its velocity is zero.

Which of the following are equation and mention the variables of the equation. 2x + 1 = 11

CALCUTTA BOOK HOUSE-QUADRATIC EQUATION IN ONE VARIABLE-EXERCISE-1.5
  1. The given equation x^(-1)+x=t (t=constant is a equation in variable.

    Text Solution

    |

  2. If the roots of the quadratic equation x^(2)-m(2x-5)-6=0 are equal, th...

    Text Solution

    |

  3. The roots of the equation x^(2)+x-6=0 are

    Text Solution

    |

  4. If the roots of the equation 4x^(2)-5x+2=0" are "(alpha^(2))/(beta)and...

    Text Solution

    |

  5. If the product of the roots of the quadratic equation x^(2)-5kx+3e^(lo...

    Text Solution

    |

  6. The quadratic equation one root of which is (2-sqrt3),"is "x^(2)-4x+1=...

    Text Solution

    |

  7. If the roote of the quadratic equation x^(2)-p(x-3)-5=0 are equal then...

    Text Solution

    |

  8. The product of the roots of the quadratic equation ax^(2)+cx+b=0 is .

    Text Solution

    |

  9. The sum of the roots of the quadratic equation (2-sqrt3)x^(2)+x+1=0 is...

    Text Solution

    |

  10. Find the quadartic equation whose one root is (3-sqrt2)

    Text Solution

    |

  11. Find m, given that the difference of the roots of the equation 2x^2-12...

    Text Solution

    |

  12. Find the quadartic equation whose sum of the roots is 2 and sum of the...

    Text Solution

    |

  13. For what values of a, the roots of the quadratic equation x^(2)-(3a-1)...

    Text Solution

    |

  14. Determine the nature of the roots of the qaudratic equation 3sqrt2x^(2...

    Text Solution

    |

  15. If alphaandbeta be the roots of the quadratic equation 2x^(2)+2x-3=0, ...

    Text Solution

    |

  16. If alphaandbeta be the roots of the quadratic equation 2x^(2)+2x-3=0, ...

    Text Solution

    |

  17. If alphaandbeta be the roots of quadratic equation ax^(2)+bx+c=0, then...

    Text Solution

    |

  18. If alphaandbeta be the roots of quadratic equation ax^(2)+bx+c=0, then...

    Text Solution

    |

  19. If alphaand beta be the roots of the equation x^(2)+px+q=0, then find ...

    Text Solution

    |

  20. If alphaand beta be the roots of the equation x^(2)+px+q=0, then find ...

    Text Solution

    |

  21. Solve by applying Sreedhar Acharya's formula - (px-1)(qx+2)+r=0

    Text Solution

    |