Сompute Irrational roots of the equation y 3 − 3 y = y + 2

Patatiniuh

Patatiniuh

Answered

2022-07-13

Сompute Irrational roots of the equation y 3 3 y = y + 2

Answer & Explanation

zlepljalz2

zlepljalz2

Expert

2022-07-14Added 22 answers

After your substitution we obtain
cos 3 θ = | cos θ 2 |
1. cos 3 θ = cos θ 2 gives
3 θ = ± θ 2 + 360 k ,
where k Z , which gives x = 144 k or x = 720 7 k ..
Now, since cos 3 θ 0, we obtain here:
x = 2 cos 144
or
x = 2 cos 720 7 .
The case cos 3 θ = cos θ 2 for you.

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