Home
Class 10
MATHS
Write true or false : The equation x+...

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

Text Solution

Verified by Experts

False, since the given equation is `x+(1)/(x)=2`
`implies(x^(2)+1)/(x)=2`
`impliesx^(2)+1=2x`
`impliesx^(2)-2x+1=0`
Which is a quadratic equation in one variable. Hence the given statement is False.
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)^(3)=x(x^(2)-1) is a quadratic equation of one variable.

The equation x^(4)+1=0 is a quadratic equation with respect to x^(2)

Find for what value of a the equation (a-1)x^(2)+x(x+2)+8=0 is not a quadratic equation.

For what value of K the equation (K+3) x^(2)+2x-1=0 will not be a quadratic equation ?

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

For what value of a, the equation (a-2)x^(2)+3x+5=0 will not be a quadratic equation?

The equation (sqrta-1)x^(2)+bx+c=0 will be quadratic equation if ane _______.

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

Write True or False: The roots of the equation x^2+x+1=0 are real.

For what power of the variable of the equation x^(6)-x^(3)-2=0 will be a quadratic equation?

CALCUTTA BOOK HOUSE-QUADRATIC EQUATION IN ONE VARIABLE-EXERCISE-1.5
  1. Write true or false : The equation x+(1)/(x)=2(xne0) is not a quadr...

    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

    |