4-7/r-2/r^2=0

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Solution for 4-7/r-2/r^2=0 equation:


D( r )

r = 0

r^2 = 0

r = 0

r = 0

r^2 = 0

r^2 = 0

1*r^2 = 0 // : 1

r^2 = 0

r = 0

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

4-(7/r)-(2/(r^2)) = 0

4-7*r^-1-2*r^-2 = 0

t_1 = r^-1

4-2*t_1^2-7*t_1^1 = 0

4-2*t_1^2-7*t_1 = 0

DELTA = (-7)^2-(-2*4*4)

DELTA = 81

DELTA > 0

t_1 = (81^(1/2)+7)/(-2*2) or t_1 = (7-81^(1/2))/(-2*2)

t_1 = -4 or t_1 = 1/2

t_1 = -4

r^-1+4 = 0

1*r^-1 = -4 // : 1

r^-1 = -4

-1 < 0

1/(r^1) = -4 // * r^1

1 = -4*r^1 // : -4

-1/4 = r^1

r = -1/4

t_1 = 1/2

r^-1-1/2 = 0

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

r^-1 = 1/2

-1 < 0

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

1 = 1/2*r^1 // : 1/2

2 = r^1

r = 2

r in { -1/4, 2 }

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