(x^2-3x-4)/(2x)

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Solution for (x^2-3x-4)/(2x) equation: 


D( x )

2*x = 0

2*x = 0

2*x = 0

2*x = 0 // : 2

x = 0

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

(x^2-(3*x)-4)/(2*x) = 0

(x^2-3*x-4)/(2*x) = 0

x^2-3*x-4 = 0

x^2-3*x-4 = 0

DELTA = (-3)^2-(-4*1*4)

DELTA = 25

DELTA > 0

x = (25^(1/2)+3)/(1*2) or x = (3-25^(1/2))/(1*2)

x = 4 or x = -1

(x+1)*(x-4) = 0

((x+1)*(x-4))/(2*x) = 0

( x+1 )

x+1 = 0 // - 1

x = -1

( x-4 )

x-4 = 0 // + 4

x = 4

x in { -1, 4 }

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