Home
Class 10
MATHS
If - 4 is a root of x^2 + px -4 = 0 and ...

If - 4 is a root of `x^2 + px -4 = 0` and the equation `x^2 + px + q = 0` has equal roots find p and q.

Promotional Banner

Topper's Solved these Questions

  • ALGEBRIC METHOD OF SOLVING A PAIR OF LINEAR EQUATIONS

    KALYANI PUBLICATION|Exercise EXERCISE|39 Videos
  • AREA OF SIMILAR TRIANGLES

    KALYANI PUBLICATION|Exercise EXERCISE|20 Videos

Similar Questions

Explore conceptually related problems

If 2 is a root of the equation x^2+px-8 = 0 and the equation x^2 + px + q = 0 has equal roots, find p, q .

If -3 is a root of the equation x^2+ px + 6 = 0 and the equation x^2 +px +q = 0 has equal roots, find p,q .

If one root of the equation x^2 +px+ 12 = 0 be 4 and if the roots of the equation x^2 + px + q = 0 be equal, find q

If x^2-4x+p=0 has real roots then

The roots of the equation ax^2+x+b=0 are equal if

The equation ax^2+2x+a=0 has two distinct roots,if

Find all the roots of x^4 - 81 =0

If the roots of the equation 3x^2 +2 (p + q+ r)x + (pq + qr + pr) = 0 are equal show that p=q=r .

For which value of k the quadratic equation (k+4)x^2+(k+1)x+1=0 has equal roots find that value

Find the values of m for which the equation x^2 -2 (5 + 2m) x+ 3 (7+ 10m) =0 has equal roots.

KALYANI PUBLICATION-ALGEBRIC METHOD OF SOLVING A PAIR OF LINEAR EQUATIONS-EXERCISE
  1. If - 4 is a root of x^2 + px -4 = 0 and the equation x^2 + px + q = 0 ...

    Text Solution

    |

  2. Solve by the method of elimination: 5x-3y=1, 2x+5y=19

    Text Solution

    |

  3. Solve by the method of elimination: 3x+4y=7, 5x-8y=8

    Text Solution

    |

  4. Solve by the method of elimination: 5x-3y=16, 3x-y=12

    Text Solution

    |

  5. Solve by the method of substitution: 2x+3y=31, 17x-11y=8

    Text Solution

    |

  6. Solve by the method of substitution: ax+by=1, bx+ay=(a+b)^2/(a^2+b^2...

    Text Solution

    |

  7. Solve by the method of substitution: x+y=a+b, ax-by=a^2-b^2

    Text Solution

    |

  8. Solve by the method of cross multiplication: 8x+3y=1, 7x+4y=-6

    Text Solution

    |

  9. Solve by the method of cross multiplication: 2x+y=35, 3x+4y=65

    Text Solution

    |

  10. Solve by the method of cross multiplication: ax+by=a-b, bx-ay=a+b

    Text Solution

    |

  11. Solve by any method: (xy)/(x+y)=6/5, (xy)/(y-x)=6

    Text Solution

    |

  12. Solve by any method: (x+y)/(xy)=1, (x-y)/(xy)=65

    Text Solution

    |

  13. Solve by any method: x+2y=1.3, 3/(2x+5y)=1

    Text Solution

    |

  14. Solve by any method: 31x+43y=117, 43x+31y=105

    Text Solution

    |

  15. Solve by any method: 148x+231y=527, 231x+148y=610

    Text Solution

    |

  16. Solve by any method: ax+by=c, bx+ay=1+c

    Text Solution

    |

  17. Solve by any method: x+5y=36, (x+y)/(x-y)=5/3

    Text Solution

    |

  18. Solve by any method: x-y=0.9, 11/(2(x+y))=1

    Text Solution

    |

  19. Solve by any method: x/a+y/b=a+b, x/a^2+y/b^2=2

    Text Solution

    |

  20. Solve by any method: x/a+y/b=2, ax-by=a^2-b^2

    Text Solution

    |

  21. Word Problem of Numbers A number between 10 and 100 is equal to eigh...

    Text Solution

    |