Home
Class 14
MATHS
Determine the value of the common root o...

Determine the value of the common root of the quadratic equations: `x^2-8x+15=0x^2-9x+18=0`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SET THEORY

    QUANTUM CAT|Exercise QUESTION BANK|81 Videos

  • TIME AND WORK

    QUANTUM CAT|Exercise QUESTION BANK |202 Videos

Similar Questions

Explore conceptually related problems

Root of the quadratic equation x^(2)+6x-2=0

Solve the following questions (iii) Determine the nature of the roots of the quadratic equation 3x^2+9x+4=0 .

Complete the following activity to determine the nature of the roots of the quadratic equation 2x^(2) - 5x + 3 = 0

Roots of the quadratic equation are …… for 9x^2-81=0

Find the roots of the quadratic equation 6x^(2)-x-2=0

The roots of the quadratic equation 2x^(2)-x-6=0 are

The roots of the quadratic equation x^2 + 8x + 12 = 0 are

What is nature of the roots of the quadratic equation 9x^2 +6x+1=0

The roots of x in the quadratic equation x^(2)-x-12=0 are

The roots of the quadratic equation 3x^2 - 5x + 2 = 0 are

QUANTUM CAT-THEORY OF EQUATIONS-QUESTION BANK
  1. If one root of a quadratic equation is -2. At x= -5,y=27 and x = 7,...

    Text Solution

    |

  2. Determine that whether there is any common root exists between the fol...

    Text Solution

    |

  3. Determine the value of the common root of the quadratic equations: x^...

    Text Solution

    |

  4. If the equations x^2+bx+c=0 and x^2+dx+e=0 have a common root, which o...

    Text Solution

    |

  5. If the equations x^2+px+q=0 and x^2+qx+p=0 have a common root, which ...

    Text Solution

    |

  6. If the equations x^2+bx+c=0 and x^2+dx+e=0 have a common root, which o...

    Text Solution

    |

  7. Find the value of m if the equations x^2+2x+3m=0 and 2x^2+3x+5m=0 h...

    Text Solution

    |

  8. For any real numbers a, b and c the equations ax^2+bx+c=0 and bx^2+c...

    Text Solution

    |

  9. If the equation x^2-a1x+b1=0 and. x^2-a2x+b2=0, have one root in commo...

    Text Solution

    |

  10. If the equations x^(2) -px +q=0 and x^(2)+qx-p=0 have a common root, t...

    Text Solution

    |

  11. Find the value of q/p , if px^2+x-15=0 and 18x^2+3x+q=0 have both the ...

    Text Solution

    |

  12. If the equation x^2+px+qr=0 and x^2+qx+rp=0 have a common root, the ot...

    Text Solution

    |

  13. If agt0 and roots are 5+2i and 5-2i, determine the natureof-the quad...

    Text Solution

    |

  14. For a quadratic equation, alt0 and b^2=4ac, determine the nature of ...

    Text Solution

    |

  15. For a quadratic equation 10x^2+x-21=0 , what is sign of the function f...

    Text Solution

    |

  16. Find the sign of 6x^(2)-5x+1 for all real value of x.

    Text Solution

    |

  17. Find the values of x for the following inequations. 3x^2-3x-6le0

    Text Solution

    |

  18. Find the values of x for the following inequations. 3x^2-3x-6lt0

    Text Solution

    |

  19. Find the values of x for the following inequations. 3x^2-3x-6ge0

    Text Solution

    |

  20. Find the values of x for the following inequations. 3x^2-3x-6gt0

    Text Solution

    |