(y^2-36)*2/y-6

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Solution for (y^2-36)*2/y-6 equation:


D( y )

y = 0

y = 0

y = 0

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

(2*(y^2-36))/y-6 = 0

(2*(y^2-36))/y+(-6*y)/y = 0

2*(y^2-36)-6*y = 0

2*y^2-6*y-72 = 0

2*y^2-6*y-72 = 0

2*(y^2-3*y-36) = 0

y^2-3*y-36 = 0

DELTA = (-3)^2-(-36*1*4)

DELTA = 153

DELTA > 0

y = (153^(1/2)+3)/(1*2) or y = (3-153^(1/2))/(1*2)

y = (3*17^(1/2)+3)/2 or y = (3-3*17^(1/2))/2

2*(y-((3-3*17^(1/2))/2))*(y-((3*17^(1/2)+3)/2)) = 0

(2*(y-((3-3*17^(1/2))/2))*(y-((3*17^(1/2)+3)/2)))/y = 0

(2*(y-((3-3*17^(1/2))/2))*(y-((3*17^(1/2)+3)/2)))/y = 0 // * y

2*(y-((3-3*17^(1/2))/2))*(y-((3*17^(1/2)+3)/2)) = 0

( 2 )

2 = 0

y belongs to the empty set

( y-((3*17^(1/2)+3)/2) )

y-((3*17^(1/2)+3)/2) = 0 // + (3*17^(1/2)+3)/2

y = (3*17^(1/2)+3)/2

( y-((3-3*17^(1/2))/2) )

y-((3-3*17^(1/2))/2) = 0 // + (3-3*17^(1/2))/2

y = (3-3*17^(1/2))/2

y in { (3*17^(1/2)+3)/2, (3-3*17^(1/2))/2 }

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