(x^2+2x-23)/(2x-4)

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Solution for (x^2+2x-23)/(2x-4) equation: 


D( x )

2*x-4 = 0

2*x-4 = 0

2*x-4 = 0

2*x-4 = 0 // + 4

2*x = 4 // : 2

x = 4/2

x = 2

x in (-oo:2) U (2:+oo)

(x^2+2*x-23)/(2*x-4) = 0

x^2+2*x-23 = 0

x^2+2*x-23 = 0

DELTA = 2^2-(-23*1*4)

DELTA = 96

DELTA > 0

x = (96^(1/2)-2)/(1*2) or x = (-96^(1/2)-2)/(1*2)

x = (4*6^(1/2)-2)/2 or x = (-4*6^(1/2)-2)/2

(x-((-4*6^(1/2)-2)/2))*(x-((4*6^(1/2)-2)/2)) = 0

((x-((-4*6^(1/2)-2)/2))*(x-((4*6^(1/2)-2)/2)))/(2*x-4) = 0

( x-((-4*6^(1/2)-2)/2) )

x-((-4*6^(1/2)-2)/2) = 0 // + (-4*6^(1/2)-2)/2

x = (-4*6^(1/2)-2)/2

( x-((4*6^(1/2)-2)/2) )

x-((4*6^(1/2)-2)/2) = 0 // + (4*6^(1/2)-2)/2

x = (4*6^(1/2)-2)/2

x in { (-4*6^(1/2)-2)/2, (4*6^(1/2)-2)/2 }

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