2x-3/x+3=5/7

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Solution for 2x-3/x+3=5/7 equation: 


D( x )

x = 0

x = 0

x = 0

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

2*x-(3/x)+3 = 5/7 // - 5/7

2*x-(3/x)-(5/7)+3 = 0

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

2*x^1-3*x^-1+16/7*x^0 = 0

(2*x^2+16/7*x^1-3*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2+16/7*x^1-3*x^0) = 0

x^1

2*x^2+(16/7)*x-3 = 0

2*x^2+(16/7)*x-3 = 0

DELTA = (16/7)^2-(-3*2*4)

DELTA = 1432/49

DELTA > 0

x = ((1432/49)^(1/2)-(16/7))/(2*2) or x = (-(16/7)-(1432/49)^(1/2))/(2*2)

x = ((1432/49)^(1/2)-16/7)/4 or x = (-((1432/49)^(1/2)+16/7))/4

x in { (-((1432/49)^(1/2)+16/7))/4, ((1432/49)^(1/2)-16/7)/4} 

x in { (-((1432/49)^(1/2)+16/7))/4, ((1432/49)^(1/2)-16/7)/4 }

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