x-4/x^2-1-7/x-1

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Solution for x-4/x^2-1-7/x-1 equation: 


D( x )

x = 0

x^2 = 0

x = 0

x = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in (-oo:0) U (0:+oo)

x-(7/x)-(4/(x^2))-1-1 = 0

x-7*x^-1-4*x^-2-1-1 = 0

1*x^1-7*x^-1-4*x^-2-2*x^0 = 0

(1*x^3-2*x^2-7*x^1-4*x^0)/(x^2) = 0 // * x^4

x^2*(1*x^3-2*x^2-7*x^1-4*x^0) = 0

x^2

x^3-2*x^2-7*x-4 = 0

{ 1, -1, 2, -2, 4, -4 }

1

x = 1

x^3-2*x^2-7*x-4 = -12

1

-1

x = -1

x^3-2*x^2-7*x-4 = 0

-1

x+1

x^2-3*x-4

x^3-2*x^2-7*x-4

x+1

-x^3-x^2

-3*x^2-7*x-4

3*x^2+3*x

-4*x-4

4*x+4

0

x^2-3*x-4 = 0

DELTA = (-3)^2-(-4*1*4)

DELTA = 25

DELTA > 0

x = (25^(1/2)+3)/(1*2) or x = (3-25^(1/2))/(1*2)

x = 4 or x = -1

x in { -1, 4, -1} 

x in { -1, 4, -1 }

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