4. If the solution of 2x² + (k- 3)x-7 = 0are 3.5 and -1,then what is the value of k?
To find the value of k, we can use the fact that the sum of the solutions of a quadratic equation in the form of Ax² + Bx + C = 0 is given by -B/A. In this case, A = 2 and B = (k-3).
The sum of the solutions is:
3.5 + (-1) = -B/A
2.5 = -k + 3
Solving for k:
k - 3 = -2.5
k = -2.5 + 3
k = 0.5
Therefore, the value of k is 0.5.