SOLUTION: How Will you Solve a Quartic Equation ? or something like this 2r (2r-1)(2r-2)(2r-3) = 73440 how to find value of r

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: How Will you Solve a Quartic Equation ? or something like this 2r (2r-1)(2r-2)(2r-3) = 73440 how to find value of r      Log On


   

Question 932858: How Will you Solve a Quartic Equation ?
or something like this
2r (2r-1)(2r-2)(2r-3) = 73440
how to find value of r
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
There is a general quartic formula (see https://en.wikipedia.org/wiki/Quartic_function#General_formula_for_roots), but memorizing it is not practical, and usually the best way to solve it is by computer.

Some quartics can be solved easily without computer, for example x^4 + 4x^3 + 6x^2 + 4x + 1 = 16 since the LHS factors to (x+1)^4, so x+1 = 2, -2, 2i, or -2i. But most can't be solved that easily.