Answer:
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.
