(3y^2+12y-21)/(3y)

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Solution for (3y^2+12y-21)/(3y) equation: 


D( y )

3*y = 0

3*y = 0

3*y = 0

3*y = 0 // : 3

y = 0

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

(3*y^2+12*y-21)/(3*y) = 0

3*y^2+12*y-21 = 0

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

y^2+4*y-7 = 0

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

DELTA = 44

DELTA > 0

y = (44^(1/2)-4)/(1*2) or y = (-44^(1/2)-4)/(1*2)

y = (2*11^(1/2)-4)/2 or y = (-2*11^(1/2)-4)/2

3*(y-((-2*11^(1/2)-4)/2))*(y-((2*11^(1/2)-4)/2)) = 0

(3*(y-((-2*11^(1/2)-4)/2))*(y-((2*11^(1/2)-4)/2)))/(3*y) = 0

( y-((-2*11^(1/2)-4)/2) )

y-((-2*11^(1/2)-4)/2) = 0 // + (-2*11^(1/2)-4)/2

y = (-2*11^(1/2)-4)/2

( y-((2*11^(1/2)-4)/2) )

y-((2*11^(1/2)-4)/2) = 0 // + (2*11^(1/2)-4)/2

y = (2*11^(1/2)-4)/2

y in { (-2*11^(1/2)-4)/2, (2*11^(1/2)-4)/2 }

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