SOLUTION: Solve this quartic equation and how in general quartic equations are solved?
20x^4 154x^3 40x^2 - 418x - 84 = 0
Algebra ->
Square-cubic-other-roots
-> SOLUTION: Solve this quartic equation and how in general quartic equations are solved?
20x^4 154x^3 40x^2 - 418x - 84 = 0
Log On
You can put this solution on YOUR website! 20x^4 + 154x^3 + 40x^2 - 418x - 84 = 0
-------
10x^4 + 77x^3 + 20x^2 - 209x - 42 = 0
(2x-3)(5x+1)(x+2)(x+7) = 0
======
x = 3/2 or x = -1/5 or x = -2 or x = -7
==================
You might search Google for a general method for solving
quartic equations.
I find the easiest way is to graph them and find the
graph's intersection with the x-axis. That reveals the
roots.
You could also use Newton's method for approximating
Real roots.
=============
Cheers,
Stan H.
--------------