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Help I need to solve this

 

Find all values of x such that:  x/(x - 5) = 4/(x - 4) + 12/(x^2 - 9x + 20)

 Feb 3, 2023
 #1
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x/(x - 5) = 4/(x - 4) + 12/(x^2 - 9x + 20)

 

Note that x^2 - 9x + 20 can be written as (x-5)(x-4), so multiply all terms by   (x-5)(x-4) to get

 

x(x-4) = 4(x-5) + 12, or x^2 -4x = 4x -20 + 12  or  x^2 - 8x +8 = 0.  

 

Use the quadratic equation to find the values of x.

 Feb 3, 2023

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