Home
Class 12
MATHS
Find a quadratic equation for which the ...

Find a quadratic equation for which the sum of the roots is 7 and the sum of the squares of the roots is 25.

Text Solution

Verified by Experts

The correct Answer is:
`x^(2)-7x+12=0`
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EXPRESSIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Long Answer Questions|8 Videos

  • PROBABILITY

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise DAM SURE|13 Videos

  • QUESTION PAPER -2019

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Long Answer Type questions|7 Videos

Similar Questions

Explore conceptually related problems

The quadratic equation for which the sum of the roots is 7 and the sum of the squares of the roots is 25 is

The quadratic equation for which the sum of the roots is 12 and the sum of the cubes of the roots is 468 is

Find the quadratic equation, the sum of whose roots is 1 and the sum of squares of the roots is 13.

IF the sum of the roots of ax^2+bx+c=0 is equal to the sum of the squares of the roots, then……..

If the sum of the roots of the quadratic equation ax^(2) + bx + c = 0 is equal to the sum of the squares of their reciprocals, then a/c, b/a and c/b are in

Form quadratic equation whose roots are : 2,5

Find the equation whose roots are the squares of the roots of x^3 +3x^2 -7x +6=0

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-QUADRATIC EXPRESSIONS-TEXTUAL EXERCISES
  1. Solve 2(x+(1)/(x))^(2)-7(x+(1)/(x))+5=0," when "x ne 0

    Text Solution

    |

  2. Solve (x^(2)+(1)/(x^(2)))-5(x+(1)/(x))+6=0," when "x ne0

    Text Solution

    |

  3. Find a quadratic equation for which the sum of the roots is 7 and the ...

    Text Solution

    |

  4. If the quadratic equations ax^(2)+2bx+c=0 and ax^(2)+2cx+b=0, (b ne c)...

    Text Solution

    |

  5. If x^(2)-6x+5=0 and x^(2)-3ax+35=0 have common root, then find a.

    Text Solution

    |

  6. If the equation x^(2)+ax+b=0 and x^(2)+cx+d=0 have a common root and t...

    Text Solution

    |

  7. Discuss the signs of the following quadratic expressions when x is rea...

    Text Solution

    |

  8. Discuss the signs of the following quadratic expressions when x is rea...

    Text Solution

    |

  9. For what values of x, the following expressions are negative ? x^(2)...

    Text Solution

    |

  10. For what values of x, the following expressions are negative ? 15+4x...

    Text Solution

    |

  11. For what values of x, the following expressions are negative ? 2x^(2...

    Text Solution

    |

  12. For what values of x, the following expressions are negative ? x^(2)...

    Text Solution

    |

  13. Find the changes in the sign of the following expressions and find the...

    Text Solution

    |

  14. Find the changes in the sign of the following expressions and find the...

    Text Solution

    |

  15. Find the maximum or minimum of the following expressions as x varies o...

    Text Solution

    |

  16. Find the maximum or minimum of the following expressions as x varies o...

    Text Solution

    |

  17. Find the maximum or minimum of the following expressions as x varies o...

    Text Solution

    |

  18. Determine the range of the following expressions. (x^(2)+x+1)/(x^(2)...

    Text Solution

    |

  19. Determine the range of the following expressions. (x+2)/(2x^(2)+3x+6...

    Text Solution

    |

  20. Determine the range of the following expressions. ((x-1)(x+2))/(x+3)

    Text Solution

    |