21/3x-2=7/x

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Solution for 21/3x-2=7/x equation:


D( x )

x = 0

x = 0

x = 0

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

(21/3)*x-2 = 7/x // - 7/x

(21/3)*x-(7/x)-2 = 0

(21/3)*x-7*x^-1-2 = 0

7*x^1-7*x^-1-2*x^0 = 0

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

x^1*(7*x^2-2*x^1-7*x^0) = 0

x^1

7*x^2-2*x-7 = 0

7*x^2-2*x-7 = 0

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

DELTA = 200

DELTA > 0

x = (200^(1/2)+2)/(2*7) or x = (2-200^(1/2))/(2*7)

x = (10*2^(1/2)+2)/14 or x = (2-10*2^(1/2))/14

x in { (2-10*2^(1/2))/14, (10*2^(1/2)+2)/14}

x in { (2-10*2^(1/2))/14, (10*2^(1/2)+2)/14 }

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