6/7x-5=13/x

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Solution for 6/7x-5=13/x equation:


D( x )

x = 0

x = 0

x = 0

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

(6/7)*x-5 = 13/x // - 13/x

(6/7)*x-(13/x)-5 = 0

(6/7)*x-13*x^-1-5 = 0

6/7*x^1-13*x^-1-5*x^0 = 0

(6/7*x^2-5*x^1-13*x^0)/(x^1) = 0 // * x^2

x^1*(6/7*x^2-5*x^1-13*x^0) = 0

x^1

(6/7)*x^2-5*x-13 = 0

(6/7)*x^2-5*x-13 = 0

DELTA = (-5)^2-(-13*4*(6/7))

DELTA = 487/7

DELTA > 0

x = ((487/7)^(1/2)+5)/(2*(6/7)) or x = (5-(487/7)^(1/2))/(2*(6/7))

x = 7/12*((487/7)^(1/2)+5) or x = 7/12*(5-(487/7)^(1/2))

x in { 7/12*(5-(487/7)^(1/2)), 7/12*((487/7)^(1/2)+5)}

x in { 7/12*(5-(487/7)^(1/2)), 7/12*((487/7)^(1/2)+5) }

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