x/3=-1/x-7

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Solution for x/3=-1/x-7 equation:


D( x )

x = 0

x = 0

x = 0

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

x/3 = -1/x-7 // + -1/x-7

x/3-(-1/x)+7 = 0

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

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

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

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

x^1

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

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

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

DELTA = 143/3

DELTA > 0

x = ((143/3)^(1/2)-7)/(2*(1/3)) or x = (-(143/3)^(1/2)-7)/(2*(1/3))

x = 3/2*((143/3)^(1/2)-7) or x = -3/2*((143/3)^(1/2)+7)

x in { -3/2*((143/3)^(1/2)+7), 3/2*((143/3)^(1/2)-7)}

x in { -3/2*((143/3)^(1/2)+7), 3/2*((143/3)^(1/2)-7) }

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