Question

Solve for t.

t^6+1t^3=20

It's not right but I got -5,4 and I can't figure out what I did wrong.

Answer 1

t is 4 i think

Answer 2

but i suck at math so i might be wrong

Answer 3

t^6+t^3=20

t^6+t^3-20 = 0

(t^3)^2+t^3-20 = 0

Let z = t^3. So z^2 = (t^3)^2

z^2 + z - 20 = 0

Answer 4

So if you solve z^2 + z - 20 = 0 for z, you get z = 4 and z = -5

Answer 5

Your last step is to solve

t^3 = 4

and

t^3 = -5

Answer 6

Thank you!

Answer 7

yw