X^3-8x^2+37x-50/2=0

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Solution for X^3-8x^2+37x-50/2=0 equation: 


x in (-oo:+oo)

X^3-(8*x^2)+37*x-(50/2) = 0

X^3-8*x^2+37*x-25 = 0

X^3-8*x^2+37*x-25 = 0

DELTA = 37^2-(-8*4*(X^3-25))

DELTA = 32*(X^3-25)+1369

32*(X^3-25)+1369 = 0

32*(X^3-25)+1369 = 0

32*X^3+569 = 0

32*X^3+569 = 0

32*X^3 = -569 // : 32

X^3 = -569/32

X^3 = -569/32 // ^ 1/3

X = -(569/32)^(1/3)

DELTA = 0  <=>  t_1 = -(569/32)^(1/3)

x = -37/(-8*2) i X = -(569/32)^(1/3)

x = 37/16 i X = -(569/32)^(1/3)

( x = ((32*(X^3-25)+1369)^(1/2)-37)/(-8*2) or x = (-(32*(X^3-25)+1369)^(1/2)-37)/(-8*2) ) i X > -(569/32)^(1/3)

( x = ((32*(X^3-25)+1369)^(1/2)-37)/(-16) or x = ((32*(X^3-25)+1369)^(1/2)+37)/16 ) i X > -(569/32)^(1/3)

X+(569/32)^(1/3) > 0

X+(569/32)^(1/3) > 0 // - (569/32)^(1/3)

X > -(569/32)^(1/3)

x in { 37/16, ((32*(X^3-25)+1369)^(1/2)-37)/(-16), ((32*(X^3-25)+1369)^(1/2)+37)/16 }

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