3+2x=7/x

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

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

DELTA = 65

DELTA > 0

x = (65^(1/2)-3)/(2*2) or x = (-65^(1/2)-3)/(2*2)

x = (65^(1/2)-3)/4 or x = (-(65^(1/2)+3))/4

x in { (-(65^(1/2)+3))/4, (65^(1/2)-3)/4} 

x in { (-(65^(1/2)+3))/4, (65^(1/2)-3)/4 }

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