Home
Class 11
MATHS
How many roots of the equation 3x^4+6x^3...

How many roots of the equation `3x^4+6x^3+x^2+6x+3=0` are real ?

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE ENGLISH|Exercise All Questions|365 Videos

  • CONIC SECTIONS

    CENGAGE ENGLISH|Exercise All Questions|1344 Videos

Similar Questions

Explore conceptually related problems

Using differentiation method check how many roots of the equation x^3-x^2+x-2=0 are real?

Find how many roots of the equations x^4+2x^2-8x+3=0.

Find how many roots of the equations x^4+2x^2-8x+3=0.

Find the roots of the equation 3x^2+6x+3=0

the roots of the equation x^4 -6x^3 + 18x^2- 30 x +25 =0 are of the form a +- i b and b +- ia then (a ,b)=

The real roots of the equation |x|^3-3x^2+3|x|-2=0 are

For k gt 0 if k sqrt(-1) is a root of the equation x^4 + 6x^3 - 16x^2 + 24 x- 80 =0 then k^2 =

Each of the roots of the equation x^(3) - 6x^(2) + 6x - 5 = 0 are increased by k so that the new transformed equation does not contain x^(2) term. Then k =

Find the equation of whose roots is greater by unity than the roots of the equation x^3-5x^2+6x-3=0

If the roots of the equation x^2-2a x+a^2-a-3=0 are real and less than 3, then (a) a 4

CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Show that the equation a z^3+b z^2+ barb z+ bara =0 has a root alpha ...

    Text Solution

    |

  2. If nge3and1,alpha(1),alpha(2),alpha(3),...,alpha(n-1) are the n,nth ...

    Text Solution

    |

  3. How many roots of the equation 3x^4+6x^3+x^2+6x+3=0 are real ?

    Text Solution

    |

  4. If the roots of (z-1)^n=i(z+1)^n are plotted in ten Arg and plane, the...

    Text Solution

    |

  5. Find the value of k if x^3-3x+k=0 has three real distinct roots.

    Text Solution

    |

  6. Let z=t^2-1+sqrt(t^4-t^2),where t in R is a parameter. Find the locu...

    Text Solution

    |

  7. If|z|=1 , then prove that points represented by sqrt((1+z)//(1-z)) lie...

    Text Solution

    |

  8. If omega is an imaginary fifth root of unity, then find the value of ...

    Text Solution

    |

  9. a ,b ,a n d c are all different and non-zero real numbers on arithmet...

    Text Solution

    |

  10. Let x^2+y^2+x y+1geqa(x+y)AAx ,y in R , then the number of possible i...

    Text Solution

    |

  11. If alpha=e^(i2pi//7)a n df(x)=a0+sum(k=0)^(20)ak x^k , then prove that...

    Text Solution

    |

  12. If w=alpha+ibeta, where beta!=0 and z!=1 , satisfies the condition tha...

    Text Solution

    |

  13. If z is a non real root of root(7)(-1) , then find the value of z^(86...

    Text Solution

    |

  14. The quadratic equation x^2+m x+n=0 has roots which are twice those of ...

    Text Solution

    |

  15. Let omega=-1/2+i(sqrt(3))/2, then value of the determinant [[1, 1, 1]...

    Text Solution

    |

  16. All the value of k for which the quadratic polynomial f(x)=2x^2+k x+2=...

    Text Solution

    |

  17. If a=cos(2pi//7)+isin(2pi//7), then find the quadratic equation whose ...

    Text Solution

    |

  18. Let complex numbers alpha and 1/alpha lies on circle (x-x0)^2+(y-y0)^2...

    Text Solution

    |

  19. If |z/| barz |- barz |=1+|z|, then prove that z is a purely imaginary ...

    Text Solution

    |

  20. If x=-5+2sqrt(-4) , find the value of x^4+9x^3+35 x^2-x+4.

    Text Solution

    |