(6x^2-31x+18)/(2x-9)

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Solution for (6x^2-31x+18)/(2x-9) equation: 


D( x )

2*x-9 = 0

2*x-9 = 0

2*x-9 = 0

2*x-9 = 0 // + 9

2*x = 9 // : 2

x = 9/2

x in (-oo:9/2) U (9/2:+oo)

(6*x^2-(31*x)+18)/(2*x-9) = 0

(6*x^2-31*x+18)/(2*x-9) = 0

6*x^2-31*x+18 = 0

6*x^2-31*x+18 = 0

DELTA = (-31)^2-(4*6*18)

DELTA = 529

DELTA > 0

x = (529^(1/2)+31)/(2*6) or x = (31-529^(1/2))/(2*6)

x = 9/2 or x = 2/3

(x-2/3)*(x-9/2) = 0

((x-2/3)*(x-9/2))/(2*x-9) = 0

( x-2/3 )

x-2/3 = 0 // + 2/3

x = 2/3

( x-9/2 )

x-9/2 = 0 // + 9/2

x = 9/2

x in { 9/2} 

x = 2/3

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