3/r-4=3/7r

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Solution for 3/r-4=3/7r equation:


D( r )

r = 0

r = 0

r = 0

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

3/r-4 = (3/7)*r // - (3/7)*r

3/r-((3/7)*r)-4 = 0

(-3/7)*r+3/r-4 = 0

3*r^-1-3/7*r^1-4*r^0 = 0

(3*r^0-3/7*r^2-4*r^1)/(r^1) = 0 // * r^2

r^1*(3*r^0-3/7*r^2-4*r^1) = 0

r^1

(-3/7)*r^2-4*r+3 = 0

(-3/7)*r^2-4*r+3 = 0

DELTA = (-4)^2-(3*4*(-3/7))

DELTA = 148/7

DELTA > 0

r = ((148/7)^(1/2)+4)/(2*(-3/7)) or r = (4-(148/7)^(1/2))/(2*(-3/7))

r = -7/6*((148/7)^(1/2)+4) or r = -7/6*(4-(148/7)^(1/2))

r in { -7/6*((148/7)^(1/2)+4), -7/6*(4-(148/7)^(1/2))}

r in { -7/6*((148/7)^(1/2)+4), -7/6*(4-(148/7)^(1/2)) }

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