2/x+7/4x=15

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Solution for 2/x+7/4x=15 equation:


D( x )

x = 0

x = 0

x = 0

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

(7/4)*x+2/x = 15 // - 15

(7/4)*x+2/x-15 = 0

7/4*x^1+2*x^-1-15*x^0 = 0

(7/4*x^2-15*x^1+2*x^0)/(x^1) = 0 // * x^2

x^1*(7/4*x^2-15*x^1+2*x^0) = 0

x^1

(7/4)*x^2-15*x+2 = 0

(7/4)*x^2-15*x+2 = 0

DELTA = (-15)^2-(2*4*(7/4))

DELTA = 211

DELTA > 0

x = (211^(1/2)+15)/(2*(7/4)) or x = (15-211^(1/2))/(2*(7/4))

x = 2/7*(211^(1/2)+15) or x = 2/7*(15-211^(1/2))

x in { 2/7*(15-211^(1/2)), 2/7*(211^(1/2)+15)}

x in { 2/7*(15-211^(1/2)), 2/7*(211^(1/2)+15) }

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