(6y-18)/2y-6=0

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Solution for (6y-18)/2y-6=0 equation:


y in (-oo:+oo)

y*((6*y-18)/2)-6 = 0

(y*(6*y-18))/2-6 = 0

(y*(6*y-18))/2+(-6*2)/2 = 0

y*(6*y-18)-6*2 = 0

6*y^2-18*y-12 = 0

6*y^2-18*y-12 = 0

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

y^2-3*y-2 = 0

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

DELTA = 17

DELTA > 0

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

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

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

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

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

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

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

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

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

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

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

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

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

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