college Algebra

solving rational equation
trying to figure out where i did wrong
x/x-4 -4/x-5 = 4/x^2-9x +20

x/x-4 -4/x-5= 4/(x-4)(x-5)
domain x not equal +- 4,5

x(x-4)(x-5)/x-4 - 4(x-4)(x-5)/x-5= 4(x-4)(x-5)/(x-4)(x-5)

x(x-5)-4(x-4)=4
x^2-5x-4x+16=4
x^2-9x+16=4
x^2-9x+16-4=4
x^2-9x+16-4=0
x^2-9x+12=0
(x-2)(x-6)

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  1. x^2-9x+12=0***right so far
    (x-2)(x-6) ***recheck this. What two numbers multiply to 12 and add to 9?

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    bobpursley
  2. 1 x 12
    2 x 6
    3 x 4
    it would be none of these

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  3. The world is not made of whole numbers. Use the quadratic equation.

    And, recheck the math. I checked it twice, and that was the only error I could find.

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    bobpursley
  4. Y=7x-16, -7x+y=3 are the lines perpendicular, parallel or niether

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