(15x^2-8x-9)/(5x-6)

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Solution for (15x^2-8x-9)/(5x-6) equation: 


D( x )

5*x-6 = 0

5*x-6 = 0

5*x-6 = 0

5*x-6 = 0 // + 6

5*x = 6 // : 5

x = 6/5

x in (-oo:6/5) U (6/5:+oo)

(15*x^2-(8*x)-9)/(5*x-6) = 0

(15*x^2-8*x-9)/(5*x-6) = 0

15*x^2-8*x-9 = 0

15*x^2-8*x-9 = 0

DELTA = (-8)^2-(-9*4*15)

DELTA = 604

DELTA > 0

x = (604^(1/2)+8)/(2*15) or x = (8-604^(1/2))/(2*15)

x = (2*151^(1/2)+8)/30 or x = (8-2*151^(1/2))/30

(x-((8-2*151^(1/2))/30))*(x-((2*151^(1/2)+8)/30)) = 0

((x-((8-2*151^(1/2))/30))*(x-((2*151^(1/2)+8)/30)))/(5*x-6) = 0

( x-((2*151^(1/2)+8)/30) )

x-((2*151^(1/2)+8)/30) = 0 // + (2*151^(1/2)+8)/30

x = (2*151^(1/2)+8)/30

( x-((8-2*151^(1/2))/30) )

x-((8-2*151^(1/2))/30) = 0 // + (8-2*151^(1/2))/30

x = (8-2*151^(1/2))/30

x in { (2*151^(1/2)+8)/30, (8-2*151^(1/2))/30 }

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