5x-18/x-7

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Solution for 5x-18/x-7 equation: 


D( x )

x = 0

x = 0

x = 0

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

5*x-(18/x)-7 = 0

5*x-18*x^-1-7 = 0

5*x^1-18*x^-1-7*x^0 = 0

(5*x^2-7*x^1-18*x^0)/(x^1) = 0 // * x^2

x^1*(5*x^2-7*x^1-18*x^0) = 0

x^1

5*x^2-7*x-18 = 0

5*x^2-7*x-18 = 0

DELTA = (-7)^2-(-18*4*5)

DELTA = 409

DELTA > 0

x = (409^(1/2)+7)/(2*5) or x = (7-409^(1/2))/(2*5)

x = (409^(1/2)+7)/10 or x = (7-409^(1/2))/10

x in { (7-409^(1/2))/10, (409^(1/2)+7)/10} 

x in { (7-409^(1/2))/10, (409^(1/2)+7)/10 }

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