Question

2/x-2 + 1/x-4 = 3/x-3 where x not equal to 2,3,4​

Answer 1

Step-by-step explanation:

{2(x-4)+(x-2)}/(x-2)(x-4)=3/(x-3)

{2x-8+x-2}/x^2-6x+8=3/(x-3)

(3x-10)(x-3)=3(x^2-6x+8)

3x^2-9x-10x+30=3x^2-18x+24

-19x+18x=24-30

-X=-6

x=6

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