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# Core 4 Partial fractions

1. Show that 3/(x-2) + 4/(x-1) = 7x -11/(x-2)(x-1). Therefore solve the equation 3/(x-2) + 4/(x-1) = 7/xdone the first bit
Is this second bit correct?

7/x = 7x-11/(x-2)(x-1)

so 7x^2 - 21x + 14 = 7x^2 -11x

x=14/10
2. Best to check whether that solution satisfies the equation given in the question. (It is right, though, by my reckining, albeit 7/5 might be slightly preferable).
3. (Original post by Custardcream000)
Show that 3/(x-2) + 4/(x-1) = 7x -11/(x-2)(x-1). Therefore solve the equation 3/(x-2) + 4/(x-1) = 7/xdone the first bit
Is this second bit correct?

7/x = 7x-11/(x-2)(x-1)

so 7x^2 - 21x + 14 = 7x^2 -11x

x=14/10
You can use WolframAlpha to check solutions to equations:

https://www.wolframalpha.com/input/?...x-1)+%3D+7%2Fx

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