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


User Ninh Le
by
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1 Answer

6 votes

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Answer:

x = 2 or 20

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.

Find the value of x that makes the equation true. a. 9/x-5=x-8/x ​-example-1
User Dan Mironis
by
6.1k points