3x^5 + 4x^4 + 6x^3 - 20x^2 - 25x = 0
by the way, the answers are the following:
0, -1, 5/3 & -1±2i
*** i need a complete solution on how to solve this eqn plzzzz
The rational roots theorem tells us that if this has any rational roots they are the ratio of a factor of the constant term to a factor of the coefficient of the higest order term, so try: . Having found all the rational roots remove the corresponding factors, which will leave you with a quadratic, and on that you use the quadratic formula.
It's obvious here that x=0
Now you can use the rational root test to find the possible zeros for the polynomial inside the bracket
THe possible ones are
, , ,
whichever roots which give you 0 when you substitute them into the equation would be the zeros . In this case , they would be -1 and 5/3 .
Use the long division to find the quadratic , and solve it where it would give you complex roots .