(10x^2+83x-3)/(x+9)

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Solution for (10x^2+83x-3)/(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)

(10*x^2+83*x-3)/(x+9) = 0

10*x^2+83*x-3 = 0

10*x^2+83*x-3 = 0

DELTA = 83^2-(-3*4*10)

DELTA = 7009

DELTA > 0

x = (7009^(1/2)-83)/(2*10) or x = (-7009^(1/2)-83)/(2*10)

x = (7009^(1/2)-83)/20 or x = (-(7009^(1/2)+83))/20

(x+(7009^(1/2)+83)/20)*(x-((7009^(1/2)-83)/20)) = 0

((x+(7009^(1/2)+83)/20)*(x-((7009^(1/2)-83)/20)))/(x+9) = 0

( x+(7009^(1/2)+83)/20 )

x+(7009^(1/2)+83)/20 = 0 // - (7009^(1/2)+83)/20

x = -((7009^(1/2)+83)/20)

( x-((7009^(1/2)-83)/20) )

x-((7009^(1/2)-83)/20) = 0 // + (7009^(1/2)-83)/20

x = (7009^(1/2)-83)/20

x in { -((7009^(1/2)+83)/20), (7009^(1/2)-83)/20 }

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