(7/x)=(7/3x)-4

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Solution for (7/x)=(7/3x)-4 equation:


D( x )

x = 0

x = 0

x = 0

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

7/x = (7/3)*x-4 // - (7/3)*x-4

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

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

7*x^-1-7/3*x^1+4*x^0 = 0

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

x^1*(4*x^1-7/3*x^2+7*x^0) = 0

x^1

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

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

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

DELTA = 244/3

DELTA > 0

x = ((244/3)^(1/2)-4)/(2*(-7/3)) or x = (-(244/3)^(1/2)-4)/(2*(-7/3))

x = -3/14*((244/3)^(1/2)-4) or x = 3/14*((244/3)^(1/2)+4)

x in { -3/14*((244/3)^(1/2)-4), 3/14*((244/3)^(1/2)+4)}

x in { -3/14*((244/3)^(1/2)-4), 3/14*((244/3)^(1/2)+4) }

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