Home
Class 12
MATHS
If the roots of x(3-x^2)+2x^2=0 are alph...

If the roots of `x(3-x^2)+2x^2=0` are `alpha,beta,gamma` then the value of `alpha+beta+gamma+1` is ________ .

Promotional Banner

Topper's Solved these Questions

  • Ellipse and Hyberbola

    A DAS GUPTA|Exercise EXERCISE|65 Videos

  • Function

    A DAS GUPTA|Exercise Exercise|57 Videos

Similar Questions

Explore conceptually related problems

If the roots of 4-3x+5x^2+x^3=0 are alpha,beta,gamma then the value of 1/alpha+1/beta+1/gamma= ________ .

If roots of x ^(3)+2x ^(2) +1=0 are alpha, beta and gamma, then the value of (alpha beta )^(3)+ (beta gamma ) ^(3) + (alpha gamma )^(3), is:

If roots of x ^(3) +2x ^(2) +1=0 are alpha, beta and gamma, then the vlaue of (alpha beta)^(3) + (beta gamma )^(3) + (alpha gamma )^(3) , is :

If roots of x^(3)+5x^(2)-7x-1=0 are alpha,beta,gamma then the equation whose roots are alpha beta,beta gamma,gamma alpha, is.

If alpha,beta,gamma, are the roots of 2x^(3)-x+1=0 then the value of alpha^(3)+beta^(3)+gamma^(3) is

if alpha,beta,gamma are the roots of x^(3)-x^(2)+7x+2=0, then the equation whose roots are -alpha,-beta,-gamma is

If alpha beta gamma are the roots of x^3+x^2-5x-1=0 then alpha+beta+gamma is equal to

alpha,beta,gamma roots of 4x^(3)+8x^(2)-x-2=0 ,then value of (4(alpha+1)(beta+1)(gamma+1))/(alpha beta gamma) is

If alpha, beta and gamma are the roots of the cubic equation (x-1)(x^(2) + x + 3)=0 , then the value of alpha^(3) + beta^(3) + gamma^(3) is:

Let alpha,beta,gamma be the roots of the cubic 2x^(3)+9x^(2)-27x-54=0. If alpha,beta,gamma are in GP,then find (2)/(3)(| alpha|+| beta|+| gamma|)

A DAS GUPTA-Equations, Inequation and Expressions-Exercise
  1. if 2 = I sqrt3 be a root of the equation x^(2) + px + q =0, where p ...

    Text Solution

    |

  2. The value of sqrt(2+sqrt(2+sqrt(2+......oo is .

    Text Solution

    |

  3. If the roots of x(3-x^2)+2x^2=0 are alpha,beta,gamma then the value of...

    Text Solution

    |

  4. If the roots of 4-3x+5x^2+x^3=0 are alpha,beta,gamma then the value of...

    Text Solution

    |

  5. The equation x^2+2(gamma+1)x+a(a-4)=0 has negative roots only if gamma...

    Text Solution

    |

  6. The solution-set of x^4-1>0,x in R is .

    Text Solution

    |

  7. If x^(2)+ax+b=0 and x^(2)+bx+a=0,(a ne b) have a common root, then a+b...

    Text Solution

    |

  8. The sum of a number and its reciprocal is (10)/(3), find the number(s)...

    Text Solution

    |

  9. Solve 3^(x-1)+3^(1-x)=2 is

    Text Solution

    |

  10. The number of real solutions of the equation sin (e^x)= 5^x+5^-x

    Text Solution

    |

  11. For the equation x^(3/4(logx)^(2)+log(2)x-5/4)=sqrt2, which one of the...

    Text Solution

    |

  12. The equation x-2//x-1=1-2//x-1 has a. no root b. one root c. two equal...

    Text Solution

    |

  13. If l ,m ,n are real l!=m , then the roots of the equation (l-m)x^2-...

    Text Solution

    |

  14. . For what value of m will the equation (x^2-bx)/(ax-c)=(m-1)/(m+1) h...

    Text Solution

    |

  15. If alphaa n dbeta are the roots of x^2+p x+q=0a n dalpha^4,beta^4 are ...

    Text Solution

    |

  16. If x^2 + mx + 1 = 0 and (b-c)x^2 + (c-a)x + (a-b) =0 have both roots c...

    Text Solution

    |

  17. Solve the equation x^4-4x^2+8x+35=0 gine that one of roots is 2+sqrt(-...

    Text Solution

    |

  18. Let alpha,beta be the roots of the equation (x-a)(x-b)=c ,c!=0. Then t...

    Text Solution

    |

  19. If the roots of the equation x^3-12 x^2+39 x-28=0 are in A.P. th...

    Text Solution

    |

  20. If P(x)=ax^2+bx+c, Q(x)=-ax^2+dx+c where ac!=0 then P(x).Q(x)=0 has

    Text Solution

    |