SOLUTION: Hi, I have to find all real solutions of the following: {{{3x^5 + 7x^3 - 3x^2 + 2}}} I found all possible rational zeros: +/- [{{{1/3}}}, {{{2/3}}}, {{{1}}}, {{{2}}}] I gr

Algebra ->  Equations -> SOLUTION: Hi, I have to find all real solutions of the following: {{{3x^5 + 7x^3 - 3x^2 + 2}}} I found all possible rational zeros: +/- [{{{1/3}}}, {{{2/3}}}, {{{1}}}, {{{2}}}] I gr      Log On


   

Question 369340: Hi, I have to find all real solutions of the following:
3x%5E5+%2B+7x%5E3+-+3x%5E2+%2B+2
I found all possible rational zeros: +/- [1%2F3, 2%2F3, 1, 2]
I graphed the equation and it looked like there was one zero at -.5 somehow, and I'm completely confused now :(
Thanks for any help you can provide, have a great night.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
It looks like that but the actual zero is at x=-0.528995.
I used Newton's method to find that root with a starting value of x%5B0%5D=1 and it settled within 10 iterations.
The other 4 zeros are complex.