9/7x+35=(6/x+5)-3/7

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Solution for 9/7x+35=(6/x+5)-3/7 equation:


D( x )

x = 0

x = 0

x = 0

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

(9/7)*x+35 = 6/x-(3/7)+5 // - 6/x-(3/7)+5

(9/7)*x-(6/x)+3/7-5+35 = 0

(9/7)*x-6*x^-1+3/7-5+35 = 0

9/7*x^1-6*x^-1+213/7*x^0 = 0

(9/7*x^2+213/7*x^1-6*x^0)/(x^1) = 0 // * x^2

x^1*(9/7*x^2+213/7*x^1-6*x^0) = 0

x^1

(9/7)*x^2+(213/7)*x-6 = 0

(9/7)*x^2+(213/7)*x-6 = 0

DELTA = (213/7)^2-(-6*4*(9/7))

DELTA = 46881/49

DELTA > 0

x = ((46881/49)^(1/2)-(213/7))/(2*(9/7)) or x = (-(213/7)-(46881/49)^(1/2))/(2*(9/7))

x = 7/18*((46881/49)^(1/2)-213/7) or x = -7/18*((46881/49)^(1/2)+213/7)

x in { -7/18*((46881/49)^(1/2)+213/7), 7/18*((46881/49)^(1/2)-213/7)}

x in { -7/18*((46881/49)^(1/2)+213/7), 7/18*((46881/49)^(1/2)-213/7) }

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