X^5-3x^2+7x-11/2x-1

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Solution for X^5-3x^2+7x-11/2x-1 equation: 


x in (-oo:+oo)

X^5-(3*x^2)+7*x-((11/2)*x)-1 = 0

X^5-3*x^2+7*x+(-11/2)*x-1 = 0

X^5-3*x^2+3/2*x-1 = 0

DELTA = (3/2)^2-(-3*4*(X^5-1))

DELTA = 12*(X^5-1)+9/4

12*(X^5-1)+9/4 = 0

(4*12*(X^5-1))/4+9/4 = 0

4*12*(X^5-1)+9 = 0

48*X^5-39 = 0

(48*X^5-39)/4 = 0

(48*X^5-39)/4 = 0 // * 4

48*X^5-39 = 0

48*X^5 = 39 // : 48

X^5 = 13/16

X^5 = 13/16 // ^ 1/5

X = (13/16)^(1/5)

DELTA = 0  <=>  t_1 = (13/16)^(1/5)

x = -3/2/(-3*2) i X = (13/16)^(1/5)

x = 1/4 i X = (13/16)^(1/5)

( x = ((12*(X^5-1)+9/4)^(1/2)-3/2)/(-3*2) or x = (-(12*(X^5-1)+9/4)^(1/2)-3/2)/(-3*2) ) i X > (13/16)^(1/5)

( x = ((12*(X^5-1)+9/4)^(1/2)-3/2)/(-6) or x = ((12*(X^5-1)+9/4)^(1/2)+3/2)/6 ) i X > (13/16)^(1/5)

X-(13/16)^(1/5) > 0

X-(13/16)^(1/5) > 0 // + (13/16)^(1/5)

X > (13/16)^(1/5)

x in { 1/4, ((12*(X^5-1)+9/4)^(1/2)-3/2)/(-6), ((12*(X^5-1)+9/4)^(1/2)+3/2)/6 }

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