7/9x+36=5/x+4-2/9

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Solution for 7/9x+36=5/x+4-2/9 equation:


D( x )

x = 0

x = 0

x = 0

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

(7/9)*x+36 = 5/x-(2/9)+4 // - 5/x-(2/9)+4

(7/9)*x-(5/x)+2/9-4+36 = 0

(7/9)*x-5*x^-1+2/9-4+36 = 0

7/9*x^1-5*x^-1+290/9*x^0 = 0

(7/9*x^2+290/9*x^1-5*x^0)/(x^1) = 0 // * x^2

x^1*(7/9*x^2+290/9*x^1-5*x^0) = 0

x^1

(7/9)*x^2+(290/9)*x-5 = 0

(7/9)*x^2+(290/9)*x-5 = 0

DELTA = (290/9)^2-(-5*4*(7/9))

DELTA = 85360/81

DELTA > 0

x = ((85360/81)^(1/2)-(290/9))/(2*(7/9)) or x = (-(290/9)-(85360/81)^(1/2))/(2*(7/9))

x = 9/14*((85360/81)^(1/2)-290/9) or x = -9/14*((85360/81)^(1/2)+290/9)

x in { -9/14*((85360/81)^(1/2)+290/9), 9/14*((85360/81)^(1/2)-290/9)}

x in { -9/14*((85360/81)^(1/2)+290/9), 9/14*((85360/81)^(1/2)-290/9) }

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