7/x^2-16-5/x+4

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Solution for 7/x^2-16-5/x+4 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)

7/(x^2)-(5/x)-16+4 = 0

7/(x^2)-5*x^-1-16+4 = 0

7*x^-2-5*x^-1-12 = 0

t_1 = x^-1

7*t_1^2-5*t_1^1-12 = 0

7*t_1^2-5*t_1-12 = 0

DELTA = (-5)^2-(-12*4*7)

DELTA = 361

DELTA > 0

t_1 = (361^(1/2)+5)/(2*7) or t_1 = (5-361^(1/2))/(2*7)

t_1 = 12/7 or t_1 = -1

t_1 = -1

x^-1+1 = 0

1*x^-1 = -1 // : 1

x^-1 = -1

-1 < 0

1/(x^1) = -1 // * x^1

1 = -1*x^1 // : -1

-1 = x^1

x = -1

t_1 = 12/7

x^-1-12/7 = 0

1*x^-1 = 12/7 // : 1

x^-1 = 12/7

-1 < 0

1/(x^1) = 12/7 // * x^1

1 = 12/7*x^1 // : 12/7

7/12 = x^1

x = 7/12

x in { -1, 7/12 }

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