... 1 let t = x - ----- x t³ + t - 30 = 0 t³ - 3³ + t - 3 = 0 (t-3)(t²+3t+3²) + (t-3) = 0 (t-3)(t²+3t+3² + 1) = 0 t=3; 1 3 = x - ----- x 3x = x² - 1 x² - 3x - 1 = 0 x1 = (3 + sqrt(13)) / 2 x2 = (3 - sqrt(13)) / 2 Now getting back to (t²+3t+3² + 1) = 0 t² + 3t + 10 = 0 I can smell imaginary number roots here - so I can't be bothered solving this tedios BS even though I can 😊
that should be 3 min video max
let u=x-1/x , u^3+u-30=0 , (u-3)(u^2+3u+10)=0 , x-1/x=3 , x=(3+/-V13)/2 , test , OK ,
... 1
let t = x - -----
x
t³ + t - 30 = 0
t³ - 3³ + t - 3 = 0
(t-3)(t²+3t+3²) + (t-3) = 0
(t-3)(t²+3t+3² + 1) = 0
t=3;
1
3 = x - -----
x
3x = x² - 1
x² - 3x - 1 = 0
x1 = (3 + sqrt(13)) / 2
x2 = (3 - sqrt(13)) / 2
Now getting back to
(t²+3t+3² + 1) = 0
t² + 3t + 10 = 0
I can smell imaginary number roots here - so I can't be bothered solving this tedios BS even though I can 😊