x-6/x+2=5/7

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Solution for x-6/x+2=5/7 equation:


D( x )

x = 0

x = 0

x = 0

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

x-(6/x)+2 = 5/7 // - 5/7

x-(6/x)-(5/7)+2 = 0

x-6*x^-1-5/7+2 = 0

1*x^1-6*x^-1+9/7*x^0 = 0

(1*x^2+9/7*x^1-6*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2+9/7*x^1-6*x^0) = 0

x^1

x^2+(9/7)*x-6 = 0

x^2+(9/7)*x-6 = 0

DELTA = (9/7)^2-(-6*1*4)

DELTA = 1257/49

DELTA > 0

x = ((1257/49)^(1/2)-(9/7))/(1*2) or x = (-(9/7)-(1257/49)^(1/2))/(1*2)

x = ((1257/49)^(1/2)-9/7)/2 or x = (-((1257/49)^(1/2)+9/7))/2

x in { (-((1257/49)^(1/2)+9/7))/2, ((1257/49)^(1/2)-9/7)/2}

x in { (-((1257/49)^(1/2)+9/7))/2, ((1257/49)^(1/2)-9/7)/2 }

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