4/7x+21=8/x+3-4/7

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Solution for 4/7x+21=8/x+3-4/7 equation: 


D( x )

x = 0

x = 0

x = 0

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

(4/7)*x+21 = 8/x-(4/7)+3 // - 8/x-(4/7)+3

(4/7)*x-(8/x)+4/7-3+21 = 0

(4/7)*x-8*x^-1+4/7-3+21 = 0

4/7*x^1-8*x^-1+130/7*x^0 = 0

(4/7*x^2+130/7*x^1-8*x^0)/(x^1) = 0 // * x^2

x^1*(4/7*x^2+130/7*x^1-8*x^0) = 0

x^1

(4/7)*x^2+(130/7)*x-8 = 0

(4/7)*x^2+(130/7)*x-8 = 0

DELTA = (130/7)^2-(-8*4*(4/7))

DELTA = 17796/49

DELTA > 0

x = ((17796/49)^(1/2)-(130/7))/(2*(4/7)) or x = (-(130/7)-(17796/49)^(1/2))/(2*(4/7))

x = 7/8*((17796/49)^(1/2)-130/7) or x = -7/8*((17796/49)^(1/2)+130/7)

x in { -7/8*((17796/49)^(1/2)+130/7), 7/8*((17796/49)^(1/2)-130/7)} 

x in { -7/8*((17796/49)^(1/2)+130/7), 7/8*((17796/49)^(1/2)-130/7) }

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