4+2x=3/x-3

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Solution for 4+2x=3/x-3 equation: 


D( x )

x = 0

x = 0

x = 0

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

2*x+4 = 3/x-3 // - 3/x-3

2*x-(3/x)+3+4 = 0

2*x-3*x^-1+3+4 = 0

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

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

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

x^1

2*x^2+7*x-3 = 0

2*x^2+7*x-3 = 0

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

DELTA = 73

DELTA > 0

x = (73^(1/2)-7)/(2*2) or x = (-73^(1/2)-7)/(2*2)

x = (73^(1/2)-7)/4 or x = (-(73^(1/2)+7))/4

x in { (-(73^(1/2)+7))/4, (73^(1/2)-7)/4} 

x in { (-(73^(1/2)+7))/4, (73^(1/2)-7)/4 }

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