2x-7/x=x-4/3

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Solution for 2x-7/x=x-4/3 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

(1*x^2+4/3*x^1-7*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2+4/3*x^1-7*x^0) = 0

x^1

x^2+(4/3)*x-7 = 0

x^2+(4/3)*x-7 = 0

DELTA = (4/3)^2-(-7*1*4)

DELTA = 268/9

DELTA > 0

x = ((268/9)^(1/2)-(4/3))/(1*2) or x = (-(4/3)-(268/9)^(1/2))/(1*2)

x = ((268/9)^(1/2)-4/3)/2 or x = (-((268/9)^(1/2)+4/3))/2

x in { (-((268/9)^(1/2)+4/3))/2, ((268/9)^(1/2)-4/3)/2} 

x in { (-((268/9)^(1/2)+4/3))/2, ((268/9)^(1/2)-4/3)/2 }

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