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I want to solve the following equation:

$$\frac{bc}{2}t^{4}-bct^{3}+\frac{a}{b^{2}}t^{2}-2\frac{a}{b^{2}}t+\frac{a}{b^{2}}=0$$

Please help me.

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Are you sure it is entered correctly? –  Shard Jan 19 '13 at 23:05
    
@Shard Yes, it is correct –  aliakbar Jan 20 '13 at 4:48
    
There is a formula for solving 4th degree equations. It is too long to write here, but you should have no difficulty finding it in books on Theory of Equations, or by a websearch for "quartic formula". –  Gerry Myerson Jan 20 '13 at 12:26
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While there is a formula, it so long and complicated that I would never expect it to be used for any (homework), even using it to solve the case $a=b=c=1$ is a headache and gives a horrible answer, which is why I wondered if the equation was entered correctly. Is this literally a homework question by itself? Or is this equation the result of some previous working which might be possibly be incorrect? There are a couple of very small changes to the question which would suddenly make it much easier to solve. –  Shard Jan 20 '13 at 13:46
    
Solve for which variable? Are you sure there isn't more to it? –  Doctor Grizz Jan 20 '13 at 18:05
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