How do I isolate t

I am trying to isolate t, and know that t is given by the solution of the equation

t^(15+1)+0.05*t-(1*5*0.015)/(0.1*0.015*0.023)==0

I have tried using solve but it says t is undefined. I have used syms t, but I don't udnerstand the result: root(z^16 + z/20 - 50000/23, z, [1:16])

Answer 1

[Star Strider]

Use vpasolve instead, and get the results of your 16-degree polynomial:

syms t 
t_root = vpasolve(t^(15+1)+0.05*t-(1*5*0.015)/(0.1*0.015*0.023)==0, t)

t_root =

                                             -1.6165109272342043846839953936581
                                              1.6165034145848299801810661369555
      - 1.4934605455143908446798389421908 + 0.61861316869838829053666346062702i
      - 1.4934605455143908446798389421908 - 0.61861316869838829053666346062702i
       - 1.1430431824670372344567623879183 + 1.1430469387114870144773726933077i
       - 1.1430431824670372344567623879183 - 1.1430469387114870144773726933077i
      - 0.61860785655790668700836197024349 + 1.4934605455578138888239619166887i
      - 0.61860785655790668700836197024349 - 1.4934605455578138888239619166887i
   0.0000037563246849305454659369071760138 - 1.6165071710229900331612597936968i
   0.0000037563246849305454659369071760138 + 1.6165071710229900331612597936968i
        0.61861316880322239896764449684854 - 1.4934552333125004485706764465214i
        0.61861316880322239896764449684854 + 1.4934552333125004485706764465214i
         1.1430431824670395061627610793625 - 1.1430394260621148816804444402974i
         1.1430431824670395061627610793625 + 1.1430394260621148816804444402974i
        1.4934552332690751327205564155858 - 0.61860785645307030687138060757141i
        1.4934552332690751327205564155858 + 0.61860785645307030687138060757141i

[Kim-Patrick Rosenkilde]

another question; then if

l = (0.023*t_roots)/0.01

which t value do I use ?

[Star Strider]

Any of them or all of them.

Your choice.

I have no idea what problem you are solving.