Home
Class 11
MATHS
If the roots of the equation x^2-8x+a^2-...

If the roots of the equation `x^2-8x+a^2-6a=0` are real distinct, then find all possible value of `adot`

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

If the roots of the equation x^2+a^2 =8x + 6a are real , then a lies between

Find the roots of the equation 2x^2 - x + 1/8 = 0

If the difference between the roots of the equation x^2+a x+1=0 is less then sqrt(5) , then find the set of possible value of adot

If the difference between the roots of the equation x^2+a x+1=0 is less then sqrt(5) , then find the set of possible value of adot

If the equation 2x^(3) -6x + k=0 has three real and distinct roots, then find the value (s) of k.

The range of values of a so that all the roots of the equations 2x^(3)-3x^(2)-12x+a=0 are real and distinct, belongs to

Show that the equation x^2+a x-4=0 has real and distinct roots for all real values of a .

If the roots of the quadratic equation 2x^(2)+8x+k=0 are equal, find the value of k .

If the equation (m+6)x^(2)+(m+6)x+2=0 has real and distinct roots, then

CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Prove that the roots of the equation (a^4+b^4)x^2+4a b c dx+(c^4+d^4)=...

    Text Solution

    |

  2. If a+i b=((x+i)^2)/(2x^2+1), prove that a^2+b^2=((x^2+1)^2)/((2x^2+1)^...

    Text Solution

    |

  3. If the roots of the equation x^2-8x+a^2-6a=0 are real distinct, then f...

    Text Solution

    |

  4. Solve :z^2+|z|=0 .

    Text Solution

    |

  5. If roots of equation x^2-2c x+a b=0 are real and unequal, then prove ...

    Text Solution

    |

  6. Find the range of real number alpha for which the equation z+alpha|z-1...

    Text Solution

    |

  7. If the roots of the equation a(b-c)x^2+b(c-a)x+c(a-b)=0 are equal, sho...

    Text Solution

    |

  8. If (1+i)^2 /(3 - i) , then Re(z) =

    Text Solution

    |

  9. Find the quadratic equation with rational coefficients whose one root ...

    Text Solution

    |

  10. Let z be a complex number satisfying the equation (z^3+3)^2=-16 , then...

    Text Solution

    |

  11. If f(x)=a x^2+b x+c ,g(x)=-a x^2+b x+c ,where ac!=0, then prove that f...

    Text Solution

    |

  12. Find the real numbers x and y if (x-i y)(3+5i) is the conjugate of ...

    Text Solution

    |

  13. If x is real, then x//(x^2-5x+9) lies between -1a n d-1//11 b. 1a n d-...

    Text Solution

    |

  14. Find the least positive integer n such that ((2i)/(1+i))^n is a positi...

    Text Solution

    |

  15. Set of all real value of a such that f(x)=((2a-1)x^2+2(a+1)x+(2a-1))/(...

    Text Solution

    |

  16. Find the real part of e^e^(itheta)

    Text Solution

    |

  17. If alpha, beta and gamma are the roots of x^3 - x^2-1 = 0, then value ...

    Text Solution

    |

  18. Prove that z=i^i, where i=sqrt-1, is purely real.

    Text Solution

    |

  19. If alpha,beta,gamma,delta are the roots of the equation x^4-K x^3+K x...

    Text Solution

    |

  20. In A B C ,A(z1),B(z2),a n dC(z3) are inscribed in the circle |z|=5. I...

    Text Solution

    |