(2x^2+9x+10)/(x^2-4)

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Solution for (2x^2+9x+10)/(x^2-4) equation: 


D( x )

x^2-4 = 0

x^2-4 = 0

x^2-4 = 0

1*x^2 = 4 // : 1

x^2 = 4

x^2 = 4 // ^ 1/2

abs(x) = 2

x = 2 or x = -2

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

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

2*x^2+9*x+10 = 0

2*x^2+9*x+10 = 0

DELTA = 9^2-(2*4*10)

DELTA = 1

DELTA > 0

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

x = -2 or x = -5/2

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

((x+5/2)*(x+2))/(x^2-4) = 0

( x+2 )

x+2 = 0 // - 2

x = -2

( x+5/2 )

x+5/2 = 0 // - 5/2

x = -5/2

x in { -2} 

x = -5/2

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