X^3-5x^2+16x-30/3=0

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Solution for X^3-5x^2+16x-30/3=0 equation:


x in (-oo:+oo)

X^3-(5*x^2)+16*x-(30/3) = 0

X^3-5*x^2+16*x-10 = 0

X^3-5*x^2+16*x-10 = 0

DELTA = 16^2-(-5*4*(X^3-10))

DELTA = 20*(X^3-10)+256

20*(X^3-10)+256 = 0

20*(X^3-10)+256 = 0

20*X^3+56 = 0

20*X^3+56 = 0

20*X^3 = -56 // : 20

X^3 = -14/5

X^3 = -14/5 // ^ 1/3

X = -(14/5)^(1/3)

DELTA = 0 <=> t_1 = -(14/5)^(1/3)

x = -16/(-5*2) i X = -(14/5)^(1/3)

x = 8/5 i X = -(14/5)^(1/3)

( x = ((20*(X^3-10)+256)^(1/2)-16)/(-5*2) or x = (-(20*(X^3-10)+256)^(1/2)-16)/(-5*2) ) i X > -(14/5)^(1/3)

( x = ((20*(X^3-10)+256)^(1/2)-16)/(-10) or x = ((20*(X^3-10)+256)^(1/2)+16)/10 ) i X > -(14/5)^(1/3)

X+(14/5)^(1/3) > 0

X+(14/5)^(1/3) > 0 // - (14/5)^(1/3)

X > -(14/5)^(1/3)

x in { 8/5, ((20*(X^3-10)+256)^(1/2)-16)/(-10), ((20*(X^3-10)+256)^(1/2)+16)/10 }

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