If x + 1/x = 17/4 then find the value of x.

The possible values for x are 4 and 0.25.

Step-by-step explanation:

In order to solve for "x" in the equation we first need to sum "x" and "1/x", to do that we must apply LMC as shown below:

x + 1/x = 17/4

(x² + 1) / x = 17/4

4 * (x² + 1) = 17*x

4*x² + 4 = 17*x

4*x² + 4 - 17*x = 0

4*x² - 17*x + 4 = 0

x = [ - (-17) + sqrt ((-17) ² - 4 * (4) * (4)) ] / (2*4) = 4

x = [ - (-17) - sqrt ((-17) ² - 4 * (4) * (4)) ] / (2*4) = 0.25

The possible values for x are 4 and 0.25.