2/x-3/7=7/2x

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Solution for 2/x-3/7=7/2x equation: 


D( x )

x = 0

x = 0

x = 0

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

2/x-(3/7) = (7/2)*x // - (7/2)*x

2/x-((7/2)*x)-(3/7) = 0

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

2*x^-1-7/2*x^1-3/7*x^0 = 0

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

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

x^1

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

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

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

DELTA = 1381/49

DELTA > 0

x = ((1381/49)^(1/2)-(-3/7))/(2*(-7/2)) or x = (-(-3/7)-(1381/49)^(1/2))/(2*(-7/2))

x = ((1381/49)^(1/2)+3/7)/(-7) or x = (3/7-(1381/49)^(1/2))/(-7)

x in { ((1381/49)^(1/2)+3/7)/(-7), (3/7-(1381/49)^(1/2))/(-7)} 

x in { ((1381/49)^(1/2)+3/7)/(-7), (3/7-(1381/49)^(1/2))/(-7) }

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