Home
Class 11
MATHS
The sum of the non-real root of (x^2+x-2...

The sum of the non-real root of `(x^2+x-2)(x^2+x-3)=12` is

a.`-1`

b. `1`

c. `-6`

d. `6`

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

The number of disitinct real roots of x^4-4x^3+12x^2+x-1=0 is

The sum of the real roots of the equation abs(x)^2+absx-6 =0 is

The number of distinct real root of x^3-3x+1=0 in (1,2) is

Sum of the roots of equation x^2-6x+2=0 is

Find the number of real roots of the equation (x-1)^2+(x-2)^2+(x-3)^2=0.

The sum of the roots of the quadratic equation x^(2)-6x+2=0 is

The sum of real roots of the equation |x-2|^2+|x-2|-2=0 is (A) 4 (B) 1 (C) 2 (D) -2

Determine the sum of imaginary roots of the equation (2x^2+x-1) (4x^2+2x-3)=6

The number of distinct real roots of the equation tan(2pix)/(x^2+x+1)=-sqrt(3) is (a) 4 (b) 5 (c) 6 (d) none of these

Find the sum of the roots (real or complex) of the equation x^2001 + (1/2-x)^2001=0 . (a) 2000 (b) 2001 (c) 1000 (d) 500

CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If |z1|=|z2|=1, then prove that |z1+z2|= |1/z1+1/z2∣

    Text Solution

    |

  2. For x in (0,1) , prove that i^(2i+3) ln((i^3x^2+2x+i)/(i x^2+2x+i^3))=...

    Text Solution

    |

  3. The sum of the non-real root of (x^2+x-2)(x^2+x-3)=12 is a.-1 b....

    Text Solution

    |

  4. If n is a positive integer, prove that |I m(z^n)|lt=n|I m(z)||z|^(n-1....

    Text Solution

    |

  5. The number of roots of the equation sqrt(x-2)(x^2-4x+3)=0 is (A) Th...

    Text Solution

    |

  6. If z1,z2 and z3,z4 are two pairs of conjugate complex numbers, then ar...

    Text Solution

    |

  7. If x=1+i is a root of the equation x^3-i x+1-i=0, then the other real ...

    Text Solution

    |

  8. Find the modulus, argument, and the principal argument of the complex ...

    Text Solution

    |

  9. Find the principal argument of the complex number ((1+i)^5(1+sqrt(3i))...

    Text Solution

    |

  10. If the expression x^2+2(a+b+c)x+3(b c+ca+a b) is a perfect square, the...

    Text Solution

    |

  11. Find the point of intersection of the curves a r g(z-3i)=(3pi)/4 and a...

    Text Solution

    |

  12. The curve y=(lambda+1)x^2+2 intersects the curve y=lambdax+3 in exactl...

    Text Solution

    |

  13. if z and w are two non-zero complex numbers such that absz=absw and ar...

    Text Solution

    |

  14. The number of irrational roots of the equation (4x)/(x^2+x+3)+(5x)/(x...

    Text Solution

    |

  15. If |z+barz|+|z-barz|=2 then z lies on (a) a straight line (b) a se...

    Text Solution

    |

  16. If one vertex of the triangle having maximum area that can be inscribe...

    Text Solution

    |

  17. The number of complex numbers z satisfying |z-3-i|=|z-9-i|a n d|z-3+3i...

    Text Solution

    |

  18. If the equation x^2-3p x+2q=0a n dx^2-3a x+2b=0 have a common roots an...

    Text Solution

    |

  19. Solve the equation 3^(x^2-x)+4^(x^2-x)=25.

    Text Solution

    |

  20. If t and c are two complex numbers such that |t|!=|c|,|t|=1a n dz=(a t...

    Text Solution

    |