1/X^2+8/X+15

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Solution for 1/X^2+8/X+15 equation: 


D( X )

X = 0

X^2 = 0

X = 0

X = 0

X^2 = 0

X^2 = 0

1*X^2 = 0 // : 1

X^2 = 0

X = 0

X in (-oo:0) U (0:+oo)

8/X+1/(X^2)+15 = 0

8*X^-1+X^-2+15 = 0

t_1 = X^-1

1*t_1^2+8*t_1^1+15 = 0

t_1^2+8*t_1+15 = 0

DELTA = 8^2-(1*4*15)

DELTA = 4

DELTA > 0

t_1 = (4^(1/2)-8)/(1*2) or t_1 = (-4^(1/2)-8)/(1*2)

t_1 = -3 or t_1 = -5

t_1 = -5

X^-1+5 = 0

1*X^-1 = -5 // : 1

X^-1 = -5

-1 < 0

1/(X^1) = -5 // * X^1

1 = -5*X^1 // : -5

-1/5 = X^1

X = -1/5

t_1 = -3

X^-1+3 = 0

1*X^-1 = -3 // : 1

X^-1 = -3

-1 < 0

1/(X^1) = -3 // * X^1

1 = -3*X^1 // : -3

-1/3 = X^1

X = -1/3

X in { -1/5, -1/3 }

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