SOLUTION: x^2/3x-6+3/4x=7/x^2-2x

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Question 671257: x^2/3x-6+3/4x=7/x^2-2x
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Is this...
A.x%5E2%2F3x+-+6+%2B+%283%2F4%29x+=+7%2Fx%5E2+-+2x
or
B.x%5E2%2F%283x-6%29+%2B+%283%2F4%29x+=+7%2F%28x%5E2-2x%29
...
If A
Multiply the entire equation by 12x%5E2
4x%5E4+-+72x%5E2+%2B+9x%5E3+=+84-+24x%5E3
...
Combine
4x%5E4+%2B+9x%5E3+%2B+24x%5E3+-+72x%5E2+-+84+=+0
highlight_green%284x%5E4+%2B+33x%5E3+-+72x%5E2+-+84+=+0%29
...
If B
Multiplty the entire equation by 4(3x-6)(x^2-2x)
4x%5E2%28x%5E2-2x%29+%2B+3x%283x-6%29%28x%5E2-2x%29+=+28%283x-6%29
4x%5E4+-+8x%5E3+%2B+3x%283x%5E3+-+6x%5E2+-+6x%5E2+%2B+12x%29+=+84x+-+168
4x%5E4+-+8x%5E3+%2B+9x%5E4+-+18x%5E3+-+18x%5E3+%2B+36x%5E2+=+84x+-+168
...
Combine
4x%5E4+%2B+9x%5E4+-+8x%5E3+-+18x%5E3+-+18x%5E3+%2B+36x%5E2+-+84x+%2B+168+=+0
highlight_green%2813x%5E4+-+44x%5E4+%2B+36x%5E2+-+84x+%2B+168+=+0%29
...
As you can see, depending on how the expression looks the answer may vary.
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