11/x-9/4x=12

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Solution for 11/x-9/4x=12 equation:


D( x )

x = 0

x = 0

x = 0

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

11/x-((9/4)*x) = 12 // - 12

11/x-((9/4)*x)-12 = 0

(-9/4)*x+11/x-12 = 0

11*x^-1-9/4*x^1-12*x^0 = 0

(11*x^0-9/4*x^2-12*x^1)/(x^1) = 0 // * x^2

x^1*(11*x^0-9/4*x^2-12*x^1) = 0

x^1

(-9/4)*x^2-12*x+11 = 0

(-9/4)*x^2-12*x+11 = 0

DELTA = (-12)^2-(4*11*(-9/4))

DELTA = 243

DELTA > 0

x = (243^(1/2)+12)/(2*(-9/4)) or x = (12-243^(1/2))/(2*(-9/4))

x = -2/9*(9*3^(1/2)+12) or x = -2/9*(12-9*3^(1/2))

x in { -2/9*(9*3^(1/2)+12), -2/9*(12-9*3^(1/2))}

x in { -2/9*(9*3^(1/2)+12), -2/9*(12-9*3^(1/2)) }

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