Home
Class 10
MATHS
One of the roots of equation 5m^(2)+2m+k...

One of the roots of equation `5m^(2)+2m+k=0` is `-7/5`. Complete the following activity to find the value of 'k'.

Text Solution

Verified by Experts

`(-7)/(5)` is a root of the equadractic equation `5m^(2)+2m+k=0`.
Substitute `m=(-7)/(5)` in the given quadratic equation.
`: .5((-7)/(5))^(2)+2xx((-7)/(5))+k=0`
`:.(49)/(5)+((-14)/(5))+k=0`
`:.(7)+k=0`
`:.k=-7`
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise PRACTICE SET 2.2|12 Videos
  • QUADRATIC EQUATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise PRACTICE SET 2.3|6 Videos
  • QUADRATIC EQUATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise CHALLENGIN QUESTIONS|2 Videos
  • PYTHAGORAS THEOREM

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Challenging Questions|5 Videos
  • QUADRATIC EQUATIONS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise ASSIGNEMENT 2.4|8 Videos

Similar Questions

Explore conceptually related problems

One of the roots of the quadratic equation 5x^(2) + 2x+ k = 0 is - ( 7 )/( 5) . Complete the following activity to find the value of k. - ( 7)/( 5) is the root of the quadratic equation 5 x^(2) + 2x + k = 0 . :. Substitute x = - ( 7)/( 5) in the equation :. 5 xx square + 2 xx square + k = 0 :. square - square + k = 0 :. square + k = 0 :. k = square

One of the roots of the quadratic equation kx^(2) - 14x - 5 = 0 is 5. Complete the following activity to find the value of k .

One of the roots of the quadratic equation kx^(2)-3x-1=0" is "(1)/(2) . Complete the following activity to find the value of k.

If x= - 5 is a root of the quadratic equation kx^(2) + 13x - 10 = 0 , then complete the following activity to find the value of k .

If x = (3)/(2) is a root of the quadratic equation kx^(2) + 5x - 21 = 0 , then complete the following activity to find the value of k. One root of the quadratic equation is (3)/(2) . therefore substitute x = (3)/(2) in the equation. therefore .......... + 5 xx (3)/(2) - ........... = 0 therefore .......... + (15)/(2) - 21 = 0 . therefore 9k + ........ - 84 = 0 therefore 9k = ............." "therefore k = .............. .

alpha and beta are the roots of x^(2) - 5x - 1 = 0 . Complete the following activity to find the value of x^(2) + beta^(3) .

If one root of the equation 3x^2-8x+2k+1=0 is seven times the other, find the two roots and the value of k

If one of the roots of the quadratic equation x^(2) – 7x + k = 0 is 4, then find the value of k.

If one root of the equation 2x^2+2x+k=0 is (-1/3) then find teh value of k

NAVNEET PUBLICATION - MAHARASHTRA BOARD-QUADRATIC EQUATION -PRACTICE SET 2.1
  1. Write any two quadratic equations.

    Text Solution

    |

  2. Decide which of the following are quadratic equations : x^(2)+5x-2...

    Text Solution

    |

  3. Decide which of the following are quadratic equations : y^(2)=5y-1...

    Text Solution

    |

  4. Decide which of the following are quadratic equations : y^(2)+(1)/...

    Text Solution

    |

  5. Decide which of the following are quadratic equations : x+(1)/(x)=...

    Text Solution

    |

  6. Decide which of the following are quadratic equations : (m+2)(m-5)...

    Text Solution

    |

  7. Decide which of the following are quadratic equations : m^(3)+3m^(...

    Text Solution

    |

  8. Write the following equatratic equations in the form ax^(2)+bx+c=0. Wr...

    Text Solution

    |

  9. Write the following equatratic equations in the form ax^(2)+bx+c=0. Wr...

    Text Solution

    |

  10. Write the following equatratic equations in the form ax^(2)+bx+c=0. Wr...

    Text Solution

    |

  11. Write the following equatratic equations in the form ax^(2)+bx+c=0. Wr...

    Text Solution

    |

  12. Write the following equatratic equations in the form ax^(2)+bx+c=0. Wr...

    Text Solution

    |

  13. Write the following equatratic equations in the form ax^(2)+bx+c=0. Wr...

    Text Solution

    |

  14. Determine whether the values given against each of the quadratic equat...

    Text Solution

    |

  15. Determine whether the values given against each of the quadratic equat...

    Text Solution

    |

  16. Find k if x=3 is a root of equation kx^(2)-10x+3=0.

    Text Solution

    |

  17. One of the roots of equation 5m^(2)+2m+k=0 is -7/5. Complete the follo...

    Text Solution

    |