-1/2v+4+2=-7/v+2

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Solution for -1/2v+4+2=-7/v+2 equation:


D( v )

v = 0

v = 0

v = 0

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

(-1/2)*v+2+4 = 2-7/v // - 2-7/v

(-1/2)*v-(-7/v)-2+2+4 = 0

(-1/2)*v+7*v^-1-2+2+4 = 0

7*v^-1-1/2*v^1+4*v^0 = 0

(4*v^1-1/2*v^2+7*v^0)/(v^1) = 0 // * v^2

v^1*(4*v^1-1/2*v^2+7*v^0) = 0

v^1

(-1/2)*v^2+4*v+7 = 0

(-1/2)*v^2+4*v+7 = 0

DELTA = 4^2-(4*7*(-1/2))

DELTA = 30

DELTA > 0

v = (30^(1/2)-4)/(2*(-1/2)) or v = (-30^(1/2)-4)/(2*(-1/2))

v = 4-30^(1/2) or v = 30^(1/2)+4

v in { 4-30^(1/2), 30^(1/2)+4}

v in { 4-30^(1/2), 30^(1/2)+4 }

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