3x-2/x-2=6/x-2+7

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Solution for 3x-2/x-2=6/x-2+7 equation:


D( x )

x = 0

x = 0

x = 0

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

3*x-(2/x)-2 = 6/x-2+7 // - 6/x-2+7

3*x-(2/x)-(6/x)-7-2+2 = 0

3*x-2*x^-1-6*x^-1-7-2+2 = 0

3*x^1-8*x^-1-7*x^0 = 0

(3*x^2-7*x^1-8*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^2-7*x^1-8*x^0) = 0

x^1

3*x^2-7*x-8 = 0

3*x^2-7*x-8 = 0

DELTA = (-7)^2-(-8*3*4)

DELTA = 145

DELTA > 0

x = (145^(1/2)+7)/(2*3) or x = (7-145^(1/2))/(2*3)

x = (145^(1/2)+7)/6 or x = (7-145^(1/2))/6

x in { (7-145^(1/2))/6, (145^(1/2)+7)/6}

x in { (7-145^(1/2))/6, (145^(1/2)+7)/6 }

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