Home
Class 10
MATHS
If b =0 and c<0, is it true that the r...

If b =0 and c<0, is it true that the roots of `x^2+ bx +c =0` are numerically equal and opposite in sign? Justify.

Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    AGRAWAL PUBLICATION|Exercise EXAMPLE|25 Videos

  • REAL NUMBERS

    AGRAWAL PUBLICATION|Exercise EXAMPLE|50 Videos

Similar Questions

Explore conceptually related problems

If a>0,b>0 and c>0 prove that (1984,2M(a+b+c)((1)/(a)+(1)/(b)+(1)/(c))>=9

If a,b and c are complex numbers the determinant Delta|{:(0,-b,-c),( overset-b,0,-a),(overset-c,overset-a,0):}| is

If a+b+c=3 and a>0,b>0,c>0 the greatest value of a^(2)b^(3)c^(2)

If a+b+c=1 and a>0,b>0,c>0 then prove that ab^2c^3le1/(432) .

If a , b ,c in Ra n da(a+b)+b(b+c)+c(c+a)=0 then a.a=b=c=0 b. a+b+c+=0 c. (a-b)^2+(b-c)^2+(c-a)^2=0 d. a^3+b^3+c^3+3a b c=0

If a, b, c are unit vectors such that a-b+c=0 then c*a is equal to

If a, b, c are complex numbers, then the determinant Delta = |(0,-b,-c),(bar(b),0,-a),(bar(c),bar(a),0)| , is

If a b c = 0, then ({(x^a)^b}^c)/({(x^b)^c}^a) = (a)3 (b) 0 (c) -1 (d) 1

If a, b, c are in AP or GP ot HP where a>0, b>0, c>0 then prove that b^2> or = or < ac .

AGRAWAL PUBLICATION-QUADRATIC EQUATIONS-EXAMPLE
  1. Solve for x: (x+3)/(x+2) = (3x-7)/(2x-3), x != -2, 3/2

    Text Solution

    |

  2. Find the roots of the quadratic equation sqrt2 x^2 + 7x + 5 sqrt2 =0

    Text Solution

    |

  3. If b =0 and c<0, is it true that the roots of x^2+ bx +c =0 are nume...

    Text Solution

    |

  4. Find the value of x^2 + k(2x + x +1) +2 =0 has real and equal roots.

    Text Solution

    |

  5. If x = 2/3 and x= -3 are roots of the quadratic equation ax^2 + 7x +b ...

    Text Solution

    |

  6. If a and b are the roots of the equation x^2 +ax - b =0 , then find a ...

    Text Solution

    |

  7. Solve for x: sqrt(2x+9) + x = 13

    Text Solution

    |

  8. Solve the following quadratic equation for x 4x^2 +4bx - (a^2- b^2) =...

    Text Solution

    |

  9. Find the value of p, for which one root of the quadratic equation px^2...

    Text Solution

    |

  10. Find the roots of the quadratic equation by using the quadratic formul...

    Text Solution

    |

  11. Find the roots of the quadratic equation by using the quadratic formul...

    Text Solution

    |

  12. Find the roots of the quadratic equation by using the quadratic formul...

    Text Solution

    |

  13. Find the roots of the quadratic equation by using the quadratic formul...

    Text Solution

    |

  14. Find the roots of the quadratic equation by using the quadratic formul...

    Text Solution

    |

  15. Find the roots of the quadratic equation by using the quadratic formul...

    Text Solution

    |

  16. Find the roots of the quadratic equation by using the quadratic formul...

    Text Solution

    |

  17. Find the roots of the following quadratic equations by the factorisati...

    Text Solution

    |

  18. Find the roots of the following quadratic equations by the factorisati...

    Text Solution

    |

  19. Find the roots of the following quadratic equations by the factorisati...

    Text Solution

    |

  20. Find the roots of the following quadratic equations by the factorisati...

    Text Solution

    |