solve 27X3+54X2+198X-73=0

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6 Answers

X→y-54/3×27 (Gardano/Tartaglia)
by Level 12 User (101k points)
The given becomes y^3+6y-7=0
by Level 12 User (101k points)
Sum of coefficients: zero
by Level 12 User (101k points)
Then y,=1→x,=1/3
by Level 12 User (101k points)
Therefore the given can be written as (3x-1)•(9x^2+21x+73)=0
by Level 12 User (101k points)
Solving the quadratic we get the other two solutions -7/6±i 3/2|√3|
by Level 12 User (101k points)

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