Question

24. One solution of the equation
2x2 - 7x+k=0 is x =-1. Find the value of k.
2​

Answer 1

The value of k is -4.

Explanation:

In order to find the value of k, you have to substitite x = -1/2 into the equation :

`2 {x}^(2) - 7x + k = 0`

`let \: x = - (1)/(2)`

`2 {( - (1)/(2) )}^(2) - 7( - (1)/(2) ) + k = 0`

`2( (1)/(4) ) + (7)/(2) + k = 0`

`(1)/(2) + (7)/(2) + k = 0`

`4 + k = 0`

`k = - 4`

Answer 2

this is the correct solution for your question