slove for x : 1/x-3+2/x-2=8/x. x not equal 0,2,3
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Given 1/x-3 + 2/x-2 = 8/x.
On cross multiplication, we get
x-2+2x-6/(x-3)(x-2) = 8/x
3x-8/(x^2-5x+6) = 8/x
8x^2-40x+48 = 3x^2-8x
5x^2 - 32x+48 = 0
5x^2-20x-12x+48 = 0
(5x-12)(x-4) = 0
x = 12/5 or x = 4.
Hope this helps!
On cross multiplication, we get
x-2+2x-6/(x-3)(x-2) = 8/x
3x-8/(x^2-5x+6) = 8/x
8x^2-40x+48 = 3x^2-8x
5x^2 - 32x+48 = 0
5x^2-20x-12x+48 = 0
(5x-12)(x-4) = 0
x = 12/5 or x = 4.
Hope this helps!
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