3x-8/x=13/x

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Solution for 3x-8/x=13/x equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x-(8/x) = 13/x // - 13/x

3*x-(8/x)-(13/x) = 0

3*x-8*x^-1-13*x^-1 = 0

3*x^1-21*x^-1 = 0

(3*x^2-21*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^2-21*x^0) = 0

x^1

3*x^2-21 = 0

3*x^2-21 = 0

DELTA = 0^2-(-21*3*4)

DELTA = 252

DELTA > 0

x = (252^(1/2)+0)/(2*3) or x = (0-252^(1/2))/(2*3)

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

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

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

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