Home
Class 12
MATHS
In a quadratic equation of the form x^2+...

In a quadratic equation of the form `x^2+mx+n=0` the constant term is misprinted 56 to 54 and the roots are, therefore, obtained as 7 and 8. Find the roots of the equation correctly printed.

Text Solution

Verified by Experts

The correct Answer is:
6 and 9
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    CHHAYA PUBLICATION|Exercise EXERCISE 5A(Long Answer type question)|56 Videos

  • QUADRATIC EQUATIONS

    CHHAYA PUBLICATION|Exercise EXERCISE 5B(Multiple Choice type question)|5 Videos

  • QUADRATIC EQUATIONS

    CHHAYA PUBLICATION|Exercise EXERCISE 5A(Very Short Answer type Question)|30 Videos

  • PROPERTIES OF TRIANGLE

    CHHAYA PUBLICATION|Exercise Assertion- Reason Type:|2 Videos

  • QUESTION PAPER -2018

    CHHAYA PUBLICATION|Exercise WBJEE|45 Videos

Similar Questions

Explore conceptually related problems

In a quadratic equation of the form ax^2 + bx + c = 6 the co-efficient of x is misprinted 17 in the place for 13 and the roots are (-2) and (-15). Find the roots of the equation if correctly printed.

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

In the equation x^2+px+q=0 , if the coeffficient of x be taken as 17 instead of 13, the roots are obtained as (-2) and (-15). Find the roots of the original equation.

Form a quadratic equation whose roots are -4 and 6.

Form a quadratic equation whose roots are -4 and 3.

Find the quadratic equation whose one of the root is 2+sqrt5 .

Find the roots of the quadratic equation |x^(2)|-3|x|+2=0 .

Form the quadratic equation,one of whose root is 2+ sqrt3

If the roots of a quadratic equation be 2 and -3, then write the equation.

If (1-p) is a root of quadratic equation x^2+p x+(1-p)=0, then find its roots.

CHHAYA PUBLICATION-QUADRATIC EQUATIONS-EXERCISE 5A(Short answer type question)
  1. The ratio of the roots of the equation ax^2+bx+c=0is r:1 Prove that, b...

    Text Solution

    |

  2. If the roots of the equation px^2+rx+r=0 are in the ratio a:b, prove t...

    Text Solution

    |

  3. In a quadratic equation of the form x^2+mx+n=0 the constant term is mi...

    Text Solution

    |

  4. For what value of m the roots of the equation (m+1)x^2+2(m+3)x+m+8=0 a...

    Text Solution

    |

  5. If one root of the equation x^2+bx+8=0 be 4 and the roots of the equat...

    Text Solution

    |

  6. For what value of m the roots of the equation 3/(x+3+m)+5/(x+5+m)=1 ar...

    Text Solution

    |

  7. Find the condition so that the roots of the equation a/(x-a)+b/(x-b)=5...

    Text Solution

    |

  8. Show that the roots of each of the following equations are rational(a,...

    Text Solution

    |

  9. Show that the roots of each of the following equations are rational(a,...

    Text Solution

    |

  10. Show that the roots of the equation (a^2-bc)x^2+2(b^2-ca)x+c^2-ab=0 ar...

    Text Solution

    |

  11. If one root of the equation qx^2+px+q=0 (p,q are real) be imaginary, s...

    Text Solution

    |

  12. If the roots of the equation qx^2+2px+2q=0 are real and unequal, prove...

    Text Solution

    |

  13. If the roots of the equation x^2-2(a+b)x+a(a+2b+c)=0 be equal , prove ...

    Text Solution

    |

  14. If the equation x^2+px+q=0andx^2+p'x+q'=0 have a common root , prove t...

    Text Solution

    |

  15. Prove that if the equations x^2+px+r=0 and x^2+rx+p=0 have a common ro...

    Text Solution

    |

  16. IF x is real and the expressions 3x^2-17x+20 is always positive, show ...

    Text Solution

    |

  17. Find the limits of real value of x so that the expressions 5x^2+6x-8 i...

    Text Solution

    |

  18. For any real positive value of x, show that 3-xcancelgt7/(x+2).

    Text Solution

    |

  19. If x is real can the value of 3+2x-x^2 be greater than 4,

    Text Solution

    |

  20. If x is real can that of x^2+3x+1 less than (-5/4)?

    Text Solution

    |