(5x^2+13x+8)/(x+2)

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Solution for (5x^2+13x+8)/(x+2) equation: 


D( x )

x+2 = 0

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

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

(5*x^2+13*x+8)/(x+2) = 0

5*x^2+13*x+8 = 0

5*x^2+13*x+8 = 0

DELTA = 13^2-(4*5*8)

DELTA = 9

DELTA > 0

x = (9^(1/2)-13)/(2*5) or x = (-9^(1/2)-13)/(2*5)

x = -1 or x = -8/5

(x+8/5)*(x+1) = 0

((x+8/5)*(x+1))/(x+2) = 0

( x+1 )

x+1 = 0 // - 1

x = -1

( x+8/5 )

x+8/5 = 0 // - 8/5

x = -8/5

x in { -1, -8/5 }

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