2X-20/X-3

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Solution for 2X-20/X-3 equation: 


D( X )

X = 0

X = 0

X = 0

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

2*X-(20/X)-3 = 0

2*X-20*X^-1-3 = 0

2*X^1-20*X^-1-3*X^0 = 0

(2*X^2-3*X^1-20*X^0)/(X^1) = 0 // * X^2

X^1*(2*X^2-3*X^1-20*X^0) = 0

X^1

2*X^2-3*X-20 = 0

2*X^2-3*X-20 = 0

DELTA = (-3)^2-(-20*2*4)

DELTA = 169

DELTA > 0

X = (169^(1/2)+3)/(2*2) or X = (3-169^(1/2))/(2*2)

X = 4 or X = -5/2

X in { -5/2, 4} 

X in { -5/2, 4 }

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