8/7x+28=8/x+4-2/7

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Solution for 8/7x+28=8/x+4-2/7 equation:


D( x )

x = 0

x = 0

x = 0

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

(8/7)*x+28 = 8/x-(2/7)+4 // - 8/x-(2/7)+4

(8/7)*x-(8/x)+2/7-4+28 = 0

(8/7)*x-8*x^-1+2/7-4+28 = 0

8/7*x^1-8*x^-1+170/7*x^0 = 0

(8/7*x^2+170/7*x^1-8*x^0)/(x^1) = 0 // * x^2

x^1*(8/7*x^2+170/7*x^1-8*x^0) = 0

x^1

(8/7)*x^2+(170/7)*x-8 = 0

(8/7)*x^2+(170/7)*x-8 = 0

DELTA = (170/7)^2-(-8*4*(8/7))

DELTA = 30692/49

DELTA > 0

x = ((30692/49)^(1/2)-(170/7))/(2*(8/7)) or x = (-(170/7)-(30692/49)^(1/2))/(2*(8/7))

x = 7/16*((30692/49)^(1/2)-170/7) or x = -7/16*((30692/49)^(1/2)+170/7)

x in { -7/16*((30692/49)^(1/2)+170/7), 7/16*((30692/49)^(1/2)-170/7)}

x in { -7/16*((30692/49)^(1/2)+170/7), 7/16*((30692/49)^(1/2)-170/7) }

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