Find the value of x that makes the equation true.
a. 9/x-5=x-8/x

9514 1404 393

  x = 2 or 20

Step-by-step explanation:

Cross-multiplying gives you the quadratic ...

  9x = (x -8)(x -5)

Putting this in standard form, you have ...

  x^2 -22x +40 = 0

Factoring, it becomes ...

  (x -2)(x -20) = 0

The solutions are the values of x that make the factors be zero:

  x = 2  or  x = 20

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Comment on the graph

The equation is true when the difference between the expressions is zero.

step-by-step explanation:

yes because there is exactly one y value for every x value

for function there can't be more than one value for every x value