Home
Class 11
MATHS
Solve the equation x^3-13 x^2+15 x+189=0...

Solve the equation `x^3-13 x^2+15 x+189=0` if one root exceeds the other by 2.

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE PUBLICATION|Exercise All Questions|363 Videos

  • CONIC SECTIONS

    CENGAGE PUBLICATION|Exercise All Questions|1167 Videos

Similar Questions

Explore conceptually related problems

In the equation x^2-px+q=0 one root is twice of other then prove that 2p^2=9q

For the equation 3x^2+p x+3=0,p >0, if one of the root is square of the other, then p is equal to (a) 1//3 b. 1 c. 3 d. 2//3

If one root of the equation x^2-3x+k=0 is reciprocal to each other then k = 1.

Solve the equation x^2-4x+13=0 by factorisation method .

Find the root of equation 2x^2+3 x + 11=0.

If one root of the equation x^2+(1-3i)x-2(1+i)=0 is -1+i, then the other root is

If one root of the equation x^(2)+(1-3i)x-2(1+i)=0 is -1+i , then the other root is

Solve the equations : (x-2)(x-3)-(a+1)/(a^(2))=0

Solve the equation 25x^2-30x+11 =0 by using the general expression for the roots of a quadratic equation .

If the roots of the equation 6x^3-11x^2+6x-1 =0 are in H.P., then the roots are

CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If x-c is a factor of order m of the polynomial f(x) of degree n (1 < ...

    Text Solution

    |

  2. If z1a n dz2 are two complex numbers such that |z1|=|z2|a n d arg(z1)+...

    Text Solution

    |

  3. Solve the equation x^3-13 x^2+15 x+189=0 if one root exceeds the other...

    Text Solution

    |

  4. If tantheta and sectheta are the roots of a x^2+b x+c=0, then prove th...

    Text Solution

    |

  5. Given that the complex numbers which satisfy the equation | z bar z ^...

    Text Solution

    |

  6. If the roots of the equation x^2-b x+c=0 are two consecutive integers,...

    Text Solution

    |

  7. Let ...

    Text Solution

    |

  8. For what real value of 'a' do the roots of x^2-2x-(a^2-1)=0 lie betwee...

    Text Solution

    |

  9. If P and Q are represented by the complex numbers z1 and z2 such that ...

    Text Solution

    |

  10. Find the value of a for which the equation a sin(x+pi/4)=sin2x+9...

    Text Solution

    |

  11. Given z=f(x)+ig(x) where f,g:(0,1) to (0,1) are real valued functions....

    Text Solution

    |

  12. Let a ,b and c be real numbers such that a+2b+c=4 . Find the maximum v...

    Text Solution

    |

  13. If z=x+i y , then the equation |(2z-i)/(z+1)|=m does not represents a ...

    Text Solution

    |

  14. Prove that for real values of x ,(a x^2+3x-4)//(3x-4x^2+a) may have a...

    Text Solution

    |

  15. Given that the two curves a r g(z)=pi/6 and |z-2sqrt(3)i|=r intersect ...

    Text Solution

    |

  16. Let x^2-(m-3)x+m=0 (m epsilon R) be a quadratic equation . Find the va...

    Text Solution

    |

  17. A particle P starts from the point z0=1+2i , where i=sqrt(-1) . It ...

    Text Solution

    |

  18. Prove that for all real values of x and y ,x^2+2x y+3y^2-6x-2ygeq-11.

    Text Solution

    |

  19. Let z=x+iy be a complex number where x and y are integers then the are...

    Text Solution

    |

  20. The values of 'a' for which the equation (x^2 + x + 2)^2 - ( a-3)( x^2...

    Text Solution

    |