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

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

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

DELTA = 31/7

DELTA > 0

x = ((31/7)^(1/2)-1)/(2*(3/7)) or x = (-(31/7)^(1/2)-1)/(2*(3/7))

x = 7/6*((31/7)^(1/2)-1) or x = -7/6*((31/7)^(1/2)+1)

x in { -7/6*((31/7)^(1/2)+1), 7/6*((31/7)^(1/2)-1)}

x in { -7/6*((31/7)^(1/2)+1), 7/6*((31/7)^(1/2)-1) }

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