5x-7/x-4

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Solution for 5x-7/x-4 equation: 


D( x )

x = 0

x = 0

x = 0

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

5*x-(7/x)-4 = 0

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

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

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

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

x^1

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

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

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

DELTA = 156

DELTA > 0

x = (156^(1/2)+4)/(2*5) or x = (4-156^(1/2))/(2*5)

x = (2*39^(1/2)+4)/10 or x = (4-2*39^(1/2))/10

x in { (4-2*39^(1/2))/10, (2*39^(1/2)+4)/10} 

x in { (4-2*39^(1/2))/10, (2*39^(1/2)+4)/10 }

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