Home
Class 12
MATHS
If the equation x ^(2) +px+q=0, the coef...

If the equation `x ^(2) +px+q=0,` the coefficient of x was incorrectly written as 17 instead of 13. Thetn roots were found to be `-2 and -15.` Then correct roots are :

A

`15,-2`

B

`-3,-10`

C

`-5,15`

D

`-10,5`

Text Solution

Verified by Experts

The correct Answer is:
B, D
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE (COMPREHENSION TYPE PROBLEMS)|23 Videos
  • QUADRATIC EQUATIONS

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE (MATCHING TYPE PROBLEMS)|4 Videos
  • QUADRATIC EQUATIONS

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|45 Videos
  • PROBABILITY

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise -5 : Subjective Type problems|11 Videos
  • SEQUENCE AND SERIES

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|21 Videos

Similar Questions

Explore conceptually related problems

In copying a quadratic equation of the form x^2 + px + q = 0 , the coefficient of x was wrongly written as -10 in place of -11 and the roots were found to be 4 and 6 . find the roots of the correct equation.

In finding the roots of x^(2) + px + q = 0 the coefficient of x was taken as -7 instead of -8 and the roots were 4 and 3 then the correct roots are

The coefficient of x in the equation x^2+px+q=0 was wrongly written as 17 in place of 13 and the roots thus found were -2 and -15. The roots of the correct equation are (A) 15.-2 (B) -3,-10 (C) -13,30 (D) 4,13

The coefficient of x in the quadratic equation x^2 + px + q = 0 was taken as 17 in place of 13. its roots were found to be - 2 and - 15. Find the roots of the original equation.

The coefficient of x in a quadratic equation x^2 + px +q=0 was taken as 17 in place of 13 and its roots found to be -3 and -10 . The roots of the original equation are

If one root of the equation x^2+px+q=0 is the square of the other then

If p and q are the roots of x^2 + px + q = 0 , then find p.

If the equations px^2+2qx+r=0 and px^2+2rx+q=0 have a common root then p+q+4r=

The roots of the equation x^(2)-4x+13=0 are

If the equation x^(3) +px +q =0 has three real roots then show that 4p^(3)+ 27q^(2) lt 0 .

VIKAS GUPTA (BLACK BOOK) ENGLISH-QUADRATIC EQUATIONS -EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)
  1. The quadratic expression ax ^(2)+bx+c gt 0 AA x in R, then :

    Text Solution

    |

  2. The sum of all possible integral value of 'k' for which 5x ^(2) -2k x...

    Text Solution

    |

  3. If the equation x ^(2) +px+q=0, the coefficient of x was incorrectly w...

    Text Solution

    |

  4. If x is real and x^(2) - 3x + 2 gt 0, x^(2)- 3x - 4 le 0, then which o...

    Text Solution

    |

  5. If 5 ^(x) + (2 sqrt3) ^(2x) -169 le 0 is true for x lying in the inter...

    Text Solution

    |

  6. Let f (x) =x ^(2) + ax +b and g (x) =x ^(2) +cx+d be two quadratic po...

    Text Solution

    |

  7. The expression (1)/(sqrt(x+2sqrt(x-1)))+(1)/(sqrt(x-2sqrt(x-1))) simp...

    Text Solution

    |

  8. if allvalues of x which satisfies the inequality log ((1//3))(x ^(2) +...

    Text Solution

    |

  9. If (a, 0) is a point on a diameter of the circle x^(2)+y^(2)=4, then t...

    Text Solution

    |

  10. Let x^2-px+q=0, where p in R,q in R have the roots alpha,beta such tha...

    Text Solution

    |

  11. If a, b, c are positive numbers such that a gt b gt c and the equation...

    Text Solution

    |

  12. For the quadratic polynomial f (x) =4x ^(2)-8ax+a. the statements (s) ...

    Text Solution

    |

  13. Given a,b, c are three distinct real numbers satisfying the inequality...

    Text Solution

    |

  14. Let f (x) =x ^(2) -4x +c AA x in R, where c is a real constant, then w...

    Text Solution

    |

  15. If 0 lt a lt b lt c and the roots alpha,beta of the equation ax^2 +...

    Text Solution

    |

  16. If x satisfies |x-1| + |x-2|+|x-3|gt6, then : i)x ∈ (−∞,1) ii)x ∈...

    Text Solution

    |

  17. If both roots of the quadratic equation ax ^(2)+x+b-a =0 are non real ...

    Text Solution

    |

  18. If a,b are two numbers such that a ^(2) +b^(2) =7 and a ^(3) + b^(3) =...

    Text Solution

    |

  19. The number of non-negative integral ordered pair(s) (x,y) for which (x...

    Text Solution

    |

  20. If alpha, beta, gamma and delta are the roots of the equation x ^(4) -...

    Text Solution

    |