The largest root of −3x^3+24x^2+6x−9=0

gladilkamwy

gladilkamwy

Answered question

2022-08-09

The largest root of 3 x 3 + 24 x 2 + 6 x 9 = 0

Answer & Explanation

Jamir Young

Jamir Young

Beginner2022-08-10Added 11 answers

The root which is largest in absolute value is
x max = 8 3 + 2 3 70 cos [ 1 3 arctan ( 9 2351 1087 ) ] 8.19930.
The other two roots are
x ± = 8 3 1 3 70 cos [ 1 3 arctan ( 9 2351 1087 ) ] ± 70 3 sin [ 1 3 arctan ( 9 2351 1087 ) ] ,
which are approximately
x + 0.513388
and
x 0.712687.

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