Solve.

2x-1/x=4

To solve the equation 2x - 1/x = 4, we can follow these steps:

Step 1: Multiply through by the common denominator (x) to eliminate the fraction:
(2x - 1/x) * x = 4 * x
2x^2 - 1 = 4x

Step 2: Rearrange the equation so that it is equal to zero on one side:
2x^2 - 4x - 1 = 0

Step 3: Solve the quadratic equation. In this case, we can use the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / 2a

For our equation, a = 2, b = -4, and c = -1. Plugging these values into the quadratic formula, we have:
x = (-(-4) ± √((-4)^2 - 4(2)(-1))) / (2 * 2)
x = (4 ± √(16 + 8)) / 4
x = (4 ± √24) / 4
x = (4 ± 2√6) / 4

Step 4: Simplify and find the solutions:
x = (2 ± √6) / 2

So the two solutions to the equation 2x - 1/x = 4 are:
x = (2 + √6) / 2 and x = (2 - √6) / 2