6x+5=21/x

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Solution for 6x+5=21/x equation: 


D( x )

x = 0

x = 0

x = 0

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

6*x+5 = 21/x // - 21/x

6*x-(21/x)+5 = 0

6*x-21*x^-1+5 = 0

6*x^1-21*x^-1+5*x^0 = 0

(6*x^2+5*x^1-21*x^0)/(x^1) = 0 // * x^2

x^1*(6*x^2+5*x^1-21*x^0) = 0

x^1

6*x^2+5*x-21 = 0

6*x^2+5*x-21 = 0

DELTA = 5^2-(-21*4*6)

DELTA = 529

DELTA > 0

x = (529^(1/2)-5)/(2*6) or x = (-529^(1/2)-5)/(2*6)

x = 3/2 or x = -7/3

x in { -7/3, 3/2} 

x in { -7/3, 3/2 }

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