(y^2-4)*7/y-2

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Solution for (y^2-4)*7/y-2 equation: 


D( y )

y = 0

y = 0

y = 0

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

(7*(y^2-4))/y-2 = 0

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

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

7*y^2-2*y-28 = 0

7*y^2-2*y-28 = 0

7*y^2-2*y-28 = 0

DELTA = (-2)^2-(-28*4*7)

DELTA = 788

DELTA > 0

y = (788^(1/2)+2)/(2*7) or y = (2-788^(1/2))/(2*7)

y = (2*197^(1/2)+2)/14 or y = (2-2*197^(1/2))/14

(y-((2-2*197^(1/2))/14))*(y-((2*197^(1/2)+2)/14)) = 0

((y-((2-2*197^(1/2))/14))*(y-((2*197^(1/2)+2)/14)))/y = 0

((y-((2-2*197^(1/2))/14))*(y-((2*197^(1/2)+2)/14)))/y = 0 // * y

(y-((2-2*197^(1/2))/14))*(y-((2*197^(1/2)+2)/14)) = 0

( y-((2*197^(1/2)+2)/14) )

y-((2*197^(1/2)+2)/14) = 0 // + (2*197^(1/2)+2)/14

y = (2*197^(1/2)+2)/14

( y-((2-2*197^(1/2))/14) )

y-((2-2*197^(1/2))/14) = 0 // + (2-2*197^(1/2))/14

y = (2-2*197^(1/2))/14

y in { (2*197^(1/2)+2)/14, (2-2*197^(1/2))/14 }

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