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Polynomial equations
1. Polynomial equations
2. The quadratic equation
Do you remember the quadratic equation? Groans, right?
![quadratic equation](/W/RMS2.NV/get-01.php?x=184313&p=/Z/MATH.IMG/math-25-01.equation.gif)
Do you remember the solution? More groans, right?
3. Solution
Here is the solution. Does it look familiar?
![quadratic equation solution](/W/RMS2.NV/get-01.php?x=184313&p=/Z/MATH.IMG/math-25-02.equation.gif)
What are the general cases?
4. General cases
Consider the polynomial equation of degree 5.
![polynomial of degree 5](/W/RMS2.NV/get-01.php?x=184313&p=/Z/MATH.IMG/math-25-03.equation.gif)
There is no known general solution for degree
5 or greater!
5. Impossibility
If it is not pointed out that there is no known general solution for degree 5 or greater, one might be left with the impression that math be used to solve more problems than what is known to be possible.