Question

solve for t : t^6+4t^3=45

Answer 1

let\[t^3=u\] it converts into an easy solving quadratic equation

Answer 2

start with
\[t^6+4t^3-45=0\] then factor. if it is not clear how to factor write as
\[x^2+4x-45=0\] and factor that

Answer 3

\[u^2+4u-45=0\]

Answer 4

Can u do from here?

Answer 5

can you help still from this point?

Answer 6

sure\[\begin{array} \\u^2+9u-5u-45=0 \\ \therefore u(u+9)-5(u+9)=0 \\ \therefore (u-5)(u+9)=0\\ u=5 or u= -9 \\ \therefore t^3=5 or t^3=-9 \end {array}\]

Answer 7

thank you!!! this helped a lot!

Answer 8

Yw :D

Answer 9

wait so is the answer 5 or -9 or is it something else too?