Home
Class 10
MATHS
Find the nature of the roots of the quad...

Find the nature of the roots of the quadratic equation `sqrt(2)x^(2) - (3)/(sqrt(2))x + (1)/(sqrt(2))=0`.

Text Solution

Verified by Experts

The correct Answer is:
`1/2 gt 0`
`:.` The roots are real and distinct.
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS (SHORT ANSWER (SA) TYPE - 2 - QUESTIONS)|18 Videos
  • QUADRATIC EQUATIONS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS (LONG ANSWER [LA] TYPE QUESTIONS)|17 Videos
  • QUADRATIC EQUATIONS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS (VERY SHORT ANSWER (VSA) QUESTIONS)|20 Videos
  • PROBABILITY

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS HOTS [HIGHER ORDER THINKING SKILLS]-QUESTIONS|24 Videos
  • REAL NUMBERS

    ZEN PUBLICATION|Exercise ADDITIONAL QUESTIONS(LONG ANSWER TYPE QUESTIONS )|5 Videos

Similar Questions

Explore conceptually related problems

What are the roots of the quadratic equation sqrt(3)x^(2)-2x-sqrt(3)=0 ?

What is the nature of the roots of the quadratic equation 5x^(2)-2x-3=0 ?

sqrt(2)x^(2) +x + sqrt(2)=0

Find the roots of the quadratic equation x^(2)+7x+12=0

What are the roots of the quadratic equation x^(2)+(sqrt(3)+1)+sqrt(3)=0 ?

x^(2) + x + 1/sqrt(2)=0

x^(2) + x + 1/sqrt(2)=0

sqrt(3)x^(2) - sqrt(2)x + 3sqrt(3)=0

x^(2) + x/sqrt(2)+1=0

ZEN PUBLICATION-QUADRATIC EQUATIONS-ZEN ADDITIONAL QUESTIONS (SHORT ANSWER (SA) TYPE - 1 - QUESTIONS)
  1. Solve: sqrt(3)x^(2)+10x-8 sqrt(3)=0

    Text Solution

    |

  2. What constant should be added and subtracted to solve the quadratic eq...

    Text Solution

    |

  3. Find the nature of the roots of the quadratic equation sqrt(2)x^(2) - ...

    Text Solution

    |

  4. Write the condition to be satisfied for the equation ax^(2)+2bx + c = ...

    Text Solution

    |

  5. If the equation ax^(2)+bx+c=0 has equal roots, find c in terms of 'a' ...

    Text Solution

    |

  6. For what value of K does 4x^(2)-2(K+1)x+(K+1)=0 have real and equal ro...

    Text Solution

    |

  7. If 2 is the root of the quadratic equation 3x^(2)+px-8=0 and 4x^(2)-2p...

    Text Solution

    |

  8. Show that the equation 2(a^(2)+b^(2))x^(2)+2(a+b)x+1=0 has no real roo...

    Text Solution

    |

  9. Determine the condition for the roots of the equation ax^(2)+bx+c=0 to...

    Text Solution

    |

  10. If 1/2 is a root of the equation x^(2)+Kx - 5/4 = 0, find the value of...

    Text Solution

    |

  11. Find two consecutive odd numbers whose product is 99.

    Text Solution

    |

  12. The difference of two natural numbers is 3 and the difference of their...

    Text Solution

    |

  13. Sum of a number and its reciprocal is 5 1/5. Find the number.

    Text Solution

    |

  14. Find a natural number whose square diminished by 84 is equal to thrice...

    Text Solution

    |

  15. A two-digit number is 4 times sum of its digits. It is also equal to 3...

    Text Solution

    |

  16. One day I asked the son of my close friend about his age. The child re...

    Text Solution

    |

  17. Solve 2x^(2)-5x+3 = 0 by using formula.

    Text Solution

    |

  18. Solve the equation x^2-3x-10=0 by using formula.

    Text Solution

    |

  19. The length of a rectangular field is 3 time its breadth . If the area ...

    Text Solution

    |

  20. Find the discriminant of the equation 2x^2-5x+3=0 and hence write the ...

    Text Solution

    |