(81/x^2)+(72/x)+16

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Solution for (81/x^2)+(72/x)+16 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)

72/x+81/(x^2)+16 = 0

72*x^-1+81*x^-2+16 = 0

t_1 = x^-1

81*t_1^2+72*t_1^1+16 = 0

81*t_1^2+72*t_1+16 = 0

DELTA = 72^2-(4*16*81)

DELTA = 0

t_1 = -72/(2*81)

t_1 = -4/9 or t_1 = -4/9

t_1 = -4/9

x^-1+4/9 = 0

1*x^-1 = -4/9 // : 1

x^-1 = -4/9

-1 < 0

1/(x^1) = -4/9 // * x^1

1 = -4/9*x^1 // : -4/9

-9/4 = x^1

x = -9/4

t_1 = -4/9

x^-1+4/9 = 0

1*x^-1 = -4/9 // : 1

x^-1 = -4/9

-1 < 0

1/(x^1) = -4/9 // * x^1

1 = -4/9*x^1 // : -4/9

-9/4 = x^1

x = -9/4

x in { -9/4, -9/4 }

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