7x-27=4/x

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Solution for 7x-27=4/x equation: 


D( x )

x = 0

x = 0

x = 0

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

7*x-27 = 4/x // - 4/x

7*x-(4/x)-27 = 0

7*x-4*x^-1-27 = 0

7*x^1-4*x^-1-27*x^0 = 0

(7*x^2-27*x^1-4*x^0)/(x^1) = 0 // * x^2

x^1*(7*x^2-27*x^1-4*x^0) = 0

x^1

7*x^2-27*x-4 = 0

7*x^2-27*x-4 = 0

DELTA = (-27)^2-(-4*4*7)

DELTA = 841

DELTA > 0

x = (841^(1/2)+27)/(2*7) or x = (27-841^(1/2))/(2*7)

x = 4 or x = -1/7

x in { -1/7, 4} 

x in { -1/7, 4 }

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