3-15/x+18/x^2=0

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Solution for 3-15/x+18/x^2=0 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)

18/(x^2)-(15/x)+3 = 0

18/(x^2)-15*x^-1+3 = 0

18*x^-2-15*x^-1+3 = 0

t_1 = x^-1

18*t_1^2-15*t_1^1+3 = 0

18*t_1^2-15*t_1+3 = 0

DELTA = (-15)^2-(3*4*18)

DELTA = 9

DELTA > 0

t_1 = (9^(1/2)+15)/(2*18) or t_1 = (15-9^(1/2))/(2*18)

t_1 = 1/2 or t_1 = 1/3

t_1 = 1/3

x^-1-1/3 = 0

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

x^-1 = 1/3

-1 < 0

1/(x^1) = 1/3 // * x^1

1 = 1/3*x^1 // : 1/3

3 = x^1

x = 3

t_1 = 1/2

x^-1-1/2 = 0

1*x^-1 = 1/2 // : 1

x^-1 = 1/2

-1 < 0

1/(x^1) = 1/2 // * x^1

1 = 1/2*x^1 // : 1/2

2 = x^1

x = 2

x in { 3, 2 }

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