(4x^2-32x-26)/(x-9)

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Solution for (4x^2-32x-26)/(x-9) equation: 


D( x )

x-9 = 0

x-9 = 0

x-9 = 0

x-9 = 0 // + 9

x = 9

x in (-oo:9) U (9:+oo)

(4*x^2-(32*x)-26)/(x-9) = 0

(4*x^2-32*x-26)/(x-9) = 0

4*x^2-32*x-26 = 0

2*(2*x^2-16*x-13) = 0

2*x^2-16*x-13 = 0

DELTA = (-16)^2-(-13*2*4)

DELTA = 360

DELTA > 0

x = (360^(1/2)+16)/(2*2) or x = (16-360^(1/2))/(2*2)

x = (6*10^(1/2)+16)/4 or x = (16-6*10^(1/2))/4

2*(x-((16-6*10^(1/2))/4))*(x-((6*10^(1/2)+16)/4)) = 0

(2*(x-((16-6*10^(1/2))/4))*(x-((6*10^(1/2)+16)/4)))/(x-9) = 0

( x-((16-6*10^(1/2))/4) )

x-((16-6*10^(1/2))/4) = 0 // + (16-6*10^(1/2))/4

x = (16-6*10^(1/2))/4

( x-((6*10^(1/2)+16)/4) )

x-((6*10^(1/2)+16)/4) = 0 // + (6*10^(1/2)+16)/4

x = (6*10^(1/2)+16)/4

x in { (16-6*10^(1/2))/4, (6*10^(1/2)+16)/4 }

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