x+8/x+7=8/9

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Solution for x+8/x+7=8/9 equation:


D( x )

x = 0

x = 0

x = 0

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

x+8/x+7 = 8/9 // - 8/9

x+8/x-(8/9)+7 = 0

x+8/x-8/9+7 = 0

1*x^1+8*x^-1+55/9*x^0 = 0

(1*x^2+55/9*x^1+8*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2+55/9*x^1+8*x^0) = 0

x^1

x^2+(55/9)*x+8 = 0

x^2+(55/9)*x+8 = 0

DELTA = (55/9)^2-(1*4*8)

DELTA = 433/81

DELTA > 0

x = ((433/81)^(1/2)-(55/9))/(1*2) or x = (-(55/9)-(433/81)^(1/2))/(1*2)

x = ((433/81)^(1/2)-55/9)/2 or x = (-((433/81)^(1/2)+55/9))/2

x in { (-((433/81)^(1/2)+55/9))/2, ((433/81)^(1/2)-55/9)/2}

x in { (-((433/81)^(1/2)+55/9))/2, ((433/81)^(1/2)-55/9)/2 }

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