7/x+3=x/4

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Solution for 7/x+3=x/4 equation: 


D( x )

x = 0

x = 0

x = 0

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

7/x+3 = x/4 // - x/4

7/x-(x/4)+3 = 0

7*x^-1-1/4*x^1+3*x^0 = 0

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

x^1*(3*x^1-1/4*x^2+7*x^0) = 0

x^1

(-1/4)*x^2+3*x+7 = 0

(-1/4)*x^2+3*x+7 = 0

DELTA = 3^2-(4*7*(-1/4))

DELTA = 16

DELTA > 0

x = (16^(1/2)-3)/(2*(-1/4)) or x = (-16^(1/2)-3)/(2*(-1/4))

x = -2 or x = 14

x in { -2, 14} 

x in { -2, 14 }

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