7/9x+9=5/x+1-2/9

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Solution for 7/9x+9=5/x+1-2/9 equation:


D( x )

x = 0

x = 0

x = 0

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

(7/9)*x+9 = 5/x-(2/9)+1 // - 5/x-(2/9)+1

(7/9)*x-(5/x)+2/9-1+9 = 0

(7/9)*x-5*x^-1+2/9-1+9 = 0

7/9*x^1-5*x^-1+74/9*x^0 = 0

(7/9*x^2+74/9*x^1-5*x^0)/(x^1) = 0 // * x^2

x^1*(7/9*x^2+74/9*x^1-5*x^0) = 0

x^1

(7/9)*x^2+(74/9)*x-5 = 0

(7/9)*x^2+(74/9)*x-5 = 0

DELTA = (74/9)^2-(-5*4*(7/9))

DELTA = 6736/81

DELTA > 0

x = ((6736/81)^(1/2)-(74/9))/(2*(7/9)) or x = (-(74/9)-(6736/81)^(1/2))/(2*(7/9))

x = 9/14*((6736/81)^(1/2)-74/9) or x = -9/14*((6736/81)^(1/2)+74/9)

x in { -9/14*((6736/81)^(1/2)+74/9), 9/14*((6736/81)^(1/2)-74/9)}

x in { -9/14*((6736/81)^(1/2)+74/9), 9/14*((6736/81)^(1/2)-74/9) }

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