0=(x+3/7x-28)-(7/x-4)-(2/7)

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Solution for 0=(x+3/7x-28)-(7/x-4)-(2/7) equation:


D( x )

x = 0

x = 0

x = 0

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

0 = x+(3/7)*x-(7/x)-(2/7)-28+4 // - x+(3/7)*x-(7/x)-(2/7)-28+4

7/x-x-((3/7)*x)+2/7-4+0+28 = 0

(-3/7)*x-x+7/x+2/7-4+28 = 0

7*x^-1-10/7*x^1+170/7*x^0 = 0

(170/7*x^1-10/7*x^2+7*x^0)/(x^1) = 0 // * x^2

x^1*(170/7*x^1-10/7*x^2+7*x^0) = 0

x^1

(-10/7)*x^2+(170/7)*x+7 = 0

(-10/7)*x^2+(170/7)*x+7 = 0

DELTA = (170/7)^2-(4*7*(-10/7))

DELTA = 30860/49

DELTA > 0

x = ((30860/49)^(1/2)-(170/7))/(2*(-10/7)) or x = (-(170/7)-(30860/49)^(1/2))/(2*(-10/7))

x = -7/20*((30860/49)^(1/2)-170/7) or x = 7/20*((30860/49)^(1/2)+170/7)

x in { -7/20*((30860/49)^(1/2)-170/7), 7/20*((30860/49)^(1/2)+170/7)}

x in { -7/20*((30860/49)^(1/2)-170/7), 7/20*((30860/49)^(1/2)+170/7) }

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