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8x^3+5x^3+1?
13 x^3 + 1
using a3 + b3 = (a + b)(a2 – ab + b2)
a=(13)1/3x , b=1
so
13x^3 + 1 = ((13)1/3x+1)((13)2/3 - (13)1/3x + 1)
Now find the roots
roots are
x = - 1 / (13)1/3
x = (13)1/3+√(13)1/2- 52*(13)1/3
x = (13)1/3+√(13)1/2+ 52*(13)1/3
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