r/3-3/8/r=-3/4

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Solution for r/3-3/8/r=-3/4 equation: 


D( r )

r = 0

r = 0

r = 0

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

r/3-((3/8)/r) = -3/4 // + -3/4

r/3-((3/8)/r)-(-3/4) = 0

r/3+(-3/8)*r^-1+3/4 = 0

1/3*r^1-3/8*r^-1+3/4*r^0 = 0

(1/3*r^2+3/4*r^1-3/8*r^0)/(r^1) = 0 // * r^2

r^1*(1/3*r^2+3/4*r^1-3/8*r^0) = 0

r^1

(1/3)*r^2+(3/4)*r-3/8 = 0

(1/3)*r^2+(3/4)*r-3/8 = 0

DELTA = (3/4)^2-(4*(1/3)*(-3/8))

DELTA = 17/16

DELTA > 0

r = ((17/16)^(1/2)-(3/4))/(2*(1/3)) or r = (-(3/4)-(17/16)^(1/2))/(2*(1/3))

r = 3/2*((17/16)^(1/2)-3/4) or r = -3/2*((17/16)^(1/2)+3/4)

r in { -3/2*((17/16)^(1/2)+3/4), 3/2*((17/16)^(1/2)-3/4)} 

r in { -3/2*((17/16)^(1/2)+3/4), 3/2*((17/16)^(1/2)-3/4) }

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