(x^2+6x+8)/(2x^2+10x+8)

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Solution for (x^2+6x+8)/(2x^2+10x+8) equation:


D( x )

2*x^2+10*x+8 = 0

2*x^2+10*x+8 = 0

2*x^2+10*x+8 = 0

2*x^2+10*x+8 = 0

DELTA = 10^2-(2*4*8)

DELTA = 36

DELTA > 0

x = (36^(1/2)-10)/(2*2) or x = (-36^(1/2)-10)/(2*2)

x = -1 or x = -4

x in (-oo:-4) U (-4:-1) U (-1:+oo)

(x^2+6*x+8)/(2*x^2+10*x+8) = 0

x^2+6*x+8 = 0

x^2+6*x+8 = 0

DELTA = 6^2-(1*4*8)

DELTA = 4

DELTA > 0

x = (4^(1/2)-6)/(1*2) or x = (-4^(1/2)-6)/(1*2)

x = -2 or x = -4

(x+4)*(x+2) = 0

2*x^2+10*x+8 = 0

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

x^2+5*x+4 = 0

DELTA = 5^2-(1*4*4)

DELTA = 9

DELTA > 0

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

x = -1 or x = -4

2*(x+4)*(x+1) = 0

((x+4)*(x+2))/(2*(x+4)*(x+1)) = 0

( x+2 )

x+2 = 0 // - 2

x = -2

( x+4 )

x+4 = 0 // - 4

x = -4

x in { -4}

x = -2

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