(2x^2-5x-21)/(x-5)

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Solution for (2x^2-5x-21)/(x-5) equation: 


D( x )

x-5 = 0

x-5 = 0

x-5 = 0

x-5 = 0 // + 5

x = 5

x in (-oo:5) U (5:+oo)

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

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

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

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

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

DELTA = 193

DELTA > 0

x = (193^(1/2)+5)/(2*2) or x = (5-193^(1/2))/(2*2)

x = (193^(1/2)+5)/4 or x = (5-193^(1/2))/4

(x-((5-193^(1/2))/4))*(x-((193^(1/2)+5)/4)) = 0

((x-((5-193^(1/2))/4))*(x-((193^(1/2)+5)/4)))/(x-5) = 0

( x-((193^(1/2)+5)/4) )

x-((193^(1/2)+5)/4) = 0 // + (193^(1/2)+5)/4

x = (193^(1/2)+5)/4

( x-((5-193^(1/2))/4) )

x-((5-193^(1/2))/4) = 0 // + (5-193^(1/2))/4

x = (5-193^(1/2))/4

x in { (193^(1/2)+5)/4, (5-193^(1/2))/4 }

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