5x-7/x-2-2x-1/x-2

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Solution for 5x-7/x-2-2x-1/x-2 equation: 


D( x )

x = 0

x = 0

x = 0

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

5*x-(2*x)-(7/x)-(1/x)-2-2 = 0

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

3*x^1-8*x^-1-4*x^0 = 0

(3*x^2-4*x^1-8*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^2-4*x^1-8*x^0) = 0

x^1

3*x^2-4*x-8 = 0

3*x^2-4*x-8 = 0

DELTA = (-4)^2-(-8*3*4)

DELTA = 112

DELTA > 0

x = (112^(1/2)+4)/(2*3) or x = (4-112^(1/2))/(2*3)

x = (4*7^(1/2)+4)/6 or x = (4-4*7^(1/2))/6

x in { (4-4*7^(1/2))/6, (4*7^(1/2)+4)/6} 

x in { (4-4*7^(1/2))/6, (4*7^(1/2)+4)/6 }

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