4x-3/x+3=5

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Solution for 4x-3/x+3=5 equation: 


D( x )

x = 0

x = 0

x = 0

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

4*x-(3/x)+3 = 5 // - 5

4*x-(3/x)-5+3 = 0

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

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

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

x^1*(4*x^2-2*x^1-3*x^0) = 0

x^1

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

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

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

DELTA = 52

DELTA > 0

x = (52^(1/2)+2)/(2*4) or x = (2-52^(1/2))/(2*4)

x = (2*13^(1/2)+2)/8 or x = (2-2*13^(1/2))/8

x in { (2-2*13^(1/2))/8, (2*13^(1/2)+2)/8} 

x in { (2-2*13^(1/2))/8, (2*13^(1/2)+2)/8 }

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