4/3x-4=3/x-7

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Solution for 4/3x-4=3/x-7 equation: 


D( x )

x = 0

x = 0

x = 0

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

(4/3)*x-4 = 3/x-7 // - 3/x-7

(4/3)*x-(3/x)-4+7 = 0

(4/3)*x-3*x^-1-4+7 = 0

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

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

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

x^1

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

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

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

DELTA = 25

DELTA > 0

x = (25^(1/2)-3)/(2*(4/3)) or x = (-25^(1/2)-3)/(2*(4/3))

x = 3/4 or x = -3

x in { -3, 3/4} 

x in { -3, 3/4 }

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