5x+3/x-1=7

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Solution for 5x+3/x-1=7 equation: 


D( x )

x = 0

x = 0

x = 0

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

5*x+3/x-1 = 7 // - 7

5*x+3/x-7-1 = 0

5*x^1+3*x^-1-8*x^0 = 0

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

x^1*(5*x^2-8*x^1+3*x^0) = 0

x^1

5*x^2-8*x+3 = 0

5*x^2-8*x+3 = 0

DELTA = (-8)^2-(3*4*5)

DELTA = 4

DELTA > 0

x = (4^(1/2)+8)/(2*5) or x = (8-4^(1/2))/(2*5)

x = 1 or x = 3/5

x in { 3/5, 1} 

x in { 3/5, 1 }

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