x+7/x+9=5/6

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Solution for x+7/x+9=5/6 equation:


D( x )

x = 0

x = 0

x = 0

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

x+7/x+9 = 5/6 // - 5/6

x+7/x-(5/6)+9 = 0

x+7/x-5/6+9 = 0

1*x^1+7*x^-1+49/6*x^0 = 0

(1*x^2+49/6*x^1+7*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2+49/6*x^1+7*x^0) = 0

x^1

x^2+(49/6)*x+7 = 0

x^2+(49/6)*x+7 = 0

DELTA = (49/6)^2-(1*4*7)

DELTA = 1393/36

DELTA > 0

x = ((1393/36)^(1/2)-(49/6))/(1*2) or x = (-(49/6)-(1393/36)^(1/2))/(1*2)

x = ((1393/36)^(1/2)-49/6)/2 or x = (-((1393/36)^(1/2)+49/6))/2

x in { (-((1393/36)^(1/2)+49/6))/2, ((1393/36)^(1/2)-49/6)/2}

x in { (-((1393/36)^(1/2)+49/6))/2, ((1393/36)^(1/2)-49/6)/2 }

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