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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 100,355

For the general quartic:

You never see the 4 roots of a quartic given in terms of its coefficients. Here it is:

The roots now are:

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.** **Thinking is cheating.**

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**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 15,955

It seems impractical to remember it, but it is a nice formula..

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Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 100,355

It is for reference only. There are numerical means that are superior. I just had fun with the derivation.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.** **Thinking is cheating.**

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**n872yt3r****Member**- Registered: 2013-01-21
- Posts: 392

Quartic formula? I thought it was a quadratic formula. Or are they different?

- n872yt3r

Math Is Fun Rocks!

By the power of the exponent, I square and cube you!

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 100,355

Quartic formula is very different, see post #1.

The quadratic formula solves quadratics, the quartic, quartics.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.** **Thinking is cheating.**

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**n872yt3r****Member**- Registered: 2013-01-21
- Posts: 392

Yup. That is way out of the range.

- n872yt3r

Math Is Fun Rocks!

By the power of the exponent, I square and cube you!

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**DeanPemberton****Member**- From: USA
- Registered: 2014-10-30
- Posts: 20
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The formula is very nice, once we start solving the question by using the above formula, then we can easily remember the above formula. Not too difficult to remember the above formula.

It is not easy to remember all this formula, few formula we can remember because there are some formulas which are like some basic formulas which we can use sometimes.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 100,355

Hi;

You are not required to memorize it. You can always look it up if necessary. Also, there are other methods to get roots that are more amenable to computation, these should be used when possible.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.** **Thinking is cheating.**

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