2/3y+8y/(y-6)=-11/3

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Solution for 2/3y+8y/(y-6)=-11/3 equation:


D( y )

y-6 = 0

y-6 = 0

y-6 = 0

y-6 = 0 // + 6

y = 6

y in (-oo:6) U (6:+oo)

(8*y)/(y-6)+(2/3)*y = -11/3 // + -11/3

(8*y)/(y-6)+(2/3)*y-(-11/3) = 0

(8*y)/(y-6)+(2/3)*y+11/3 = 0

(8*y)/(y-6)+(2*y)/3+11/3 = 0

(3*8*y)/(3*(y-6))+(2*y*(y-6))/(3*(y-6))+(11*(y-6))/(3*(y-6)) = 0

2*y*(y-6)+11*(y-6)+3*8*y = 0

2*y^2+12*y+11*y-66 = 0

2*y^2+23*y-66 = 0

2*y^2+23*y-66 = 0

2*y^2+23*y-66 = 0

DELTA = 23^2-(-66*2*4)

DELTA = 1057

DELTA > 0

y = (1057^(1/2)-23)/(2*2) or y = (-1057^(1/2)-23)/(2*2)

y = (1057^(1/2)-23)/4 or y = (-(1057^(1/2)+23))/4

(y+(1057^(1/2)+23)/4)*(y-((1057^(1/2)-23)/4)) = 0

((y+(1057^(1/2)+23)/4)*(y-((1057^(1/2)-23)/4)))/(3*(y-6)) = 0

((y+(1057^(1/2)+23)/4)*(y-((1057^(1/2)-23)/4)))/(3*(y-6)) = 0 // * 3*(y-6)

(y+(1057^(1/2)+23)/4)*(y-((1057^(1/2)-23)/4)) = 0

( y+(1057^(1/2)+23)/4 )

y+(1057^(1/2)+23)/4 = 0 // - (1057^(1/2)+23)/4

y = -((1057^(1/2)+23)/4)

( y-((1057^(1/2)-23)/4) )

y-((1057^(1/2)-23)/4) = 0 // + (1057^(1/2)-23)/4

y = (1057^(1/2)-23)/4

y in { -((1057^(1/2)+23)/4), (1057^(1/2)-23)/4 }

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