The difference between the solutions of the equation 5x2−x−k=0 is 1.8. find the solutions.

x = 1; x = -0.8

Step-by-step explanation:

Here is a simpler approach if needed for future students:

5x^2-x-k = 0,

System of Equations: x1 - x2 = 1.8 & x1 + x2 = 1/5 = 0.2 (if x1 and x2 are roots)

Now let's add the two:

x1 - x2 = 1.8

+ x1 + x2 = 0.2

2x1 = 2,

x1 = 2/2 = 1

- x2 = 1.8 - 1 = 0.8 => x2 = -0.8