SOLUTION: Quadratic Formula: Solve 3 = 5/x + 4/x^2 they say the answer is 5 + or - sqrt of 73 / 6, I get -5 + or - sqrt of 73 over 8. Please walk me thru each step. Thanks

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Question 402303: Quadratic Formula: Solve
3 = 5/x + 4/x^2
they say the answer is 5 + or - sqrt of 73 / 6, I get -5 + or - sqrt of 73 over 8. Please walk me thru each step. Thanks
Found 4 solutions by Earlsdon, sofiyac, Edwin McCravy, Mr.Math:
Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
Solve:
Multiply through by
Rewrite as:
Solve with the quadratic formula: and here, a = 3, b = -5, and c = -4.
Do the math.
Answer by sofiyac(983)   (Show Source): You can put this solution on YOUR website!
ok so this one is tricky, first thing i would do is multiply everything by
so you get
now move everything to left side
now plug in the values
a=3, b=-5, c=-4




YAY!
Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!



Multiply through by LCD = x² to clear of fractions








Get 0 on the right and the left in descending order:



Compare that to:



and we see that

, , 

So we substitute in:






 


Edwin
Answer by Mr.Math(29)   (Show Source): You can put this solution on YOUR website!
x <> 0, so multiply equation on x^2 :





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