8/x+8=5/9x+5

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Solution for 8/x+8=5/9x+5 equation:


D( x )

x = 0

x = 0

x = 0

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

8/x+8 = (5/9)*x+5 // - (5/9)*x+5

8/x-((5/9)*x)-5+8 = 0

(-5/9)*x+8/x-5+8 = 0

8*x^-1-5/9*x^1+3*x^0 = 0

(3*x^1-5/9*x^2+8*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^1-5/9*x^2+8*x^0) = 0

x^1

(-5/9)*x^2+3*x+8 = 0

(-5/9)*x^2+3*x+8 = 0

DELTA = 3^2-(4*8*(-5/9))

DELTA = 241/9

DELTA > 0

x = ((241/9)^(1/2)-3)/(2*(-5/9)) or x = (-(241/9)^(1/2)-3)/(2*(-5/9))

x = -9/10*((241/9)^(1/2)-3) or x = 9/10*((241/9)^(1/2)+3)

x in { -9/10*((241/9)^(1/2)-3), 9/10*((241/9)^(1/2)+3)}

x in { -9/10*((241/9)^(1/2)-3), 9/10*((241/9)^(1/2)+3) }

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