10/x=11/3x+8

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Solution for 10/x=11/3x+8 equation:


D( x )

x = 0

x = 0

x = 0

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

10/x = (11/3)*x+8 // - (11/3)*x+8

10/x-((11/3)*x)-8 = 0

(-11/3)*x+10/x-8 = 0

10*x^-1-11/3*x^1-8*x^0 = 0

(10*x^0-11/3*x^2-8*x^1)/(x^1) = 0 // * x^2

x^1*(10*x^0-11/3*x^2-8*x^1) = 0

x^1

(-11/3)*x^2-8*x+10 = 0

(-11/3)*x^2-8*x+10 = 0

DELTA = (-8)^2-(4*10*(-11/3))

DELTA = 632/3

DELTA > 0

x = ((632/3)^(1/2)+8)/(2*(-11/3)) or x = (8-(632/3)^(1/2))/(2*(-11/3))

x = -3/22*((632/3)^(1/2)+8) or x = -3/22*(8-(632/3)^(1/2))

x in { -3/22*((632/3)^(1/2)+8), -3/22*(8-(632/3)^(1/2))}

x in { -3/22*((632/3)^(1/2)+8), -3/22*(8-(632/3)^(1/2)) }

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