Home
Class 10
MATHS
One of the roots of the quadratic equati...

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 .

Text Solution

Verified by Experts

One of the roots of the equation `kx^(2)-14x-5=0` is 5. Substitute x=5 in the equation.
`ksquare5^(2)-14square5-5=0`
`:.25k-70-5=0`
`:.25ksquare75-5=0`
`:.k=(75)/(25)" ":.k=3`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • QUADRATIC EQUATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise CHALLENGIN QUESTIONS|2 Videos

  • QUADRATIC EQUATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise PROBLEM SET -18|17 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 kx^(2)-3x-1=0" is "(1)/(2) . Complete the following activity to find the value of k.

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

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 = .............. .

Find k, one of the roots of the quadratic equation kx^(2) – 7x + 12 = 0 is 3.

one root of quadratic equation 14x^(2)-x-3=0

Find k, if the roots of the quadratic equation kx^2-4x+4=0 are equal

Find k, if the roots of the quadratic equation kx^2-4x+4=0 are equal

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 quadratic equation kx^(2) – 7x + 5 = 0 is 1, then find the value of k.

Home
Profile