(8y^2)/(y-10)+1=(7y^2)/(y-10)

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Solution for (8y^2)/(y-10)+1=(7y^2)/(y-10) equation: 


D( y )

y-10 = 0

y-10 = 0

y-10 = 0

y-10 = 0 // + 10

y = 10

y in (-oo:10) U (10:+oo)

(8*y^2)/(y-10)+1 = (7*y^2)/(y-10) // - (7*y^2)/(y-10)

(8*y^2)/(y-10)-((7*y^2)/(y-10))+1 = 0

(8*y^2)/(y-10)-7*y^2*(y-10)^-1+1 = 0

(8*y^2)/(y-10)+(-7*y^2)/(y-10)+1 = 0

(8*y^2)/(y-10)+(-7*y^2)/(y-10)+(1*(y-10))/(y-10) = 0

1*(y-10)+8*y^2-7*y^2 = 0

y^2+y-10 = 0

y^2+y-10 = 0

y^2+y-10 = 0

DELTA = 1^2-(-10*1*4)

DELTA = 41

DELTA > 0

y = (41^(1/2)-1)/(1*2) or y = (-41^(1/2)-1)/(1*2)

y = (41^(1/2)-1)/2 or y = (-(41^(1/2)+1))/2

(y+(41^(1/2)+1)/2)*(y-((41^(1/2)-1)/2)) = 0

((y+(41^(1/2)+1)/2)*(y-((41^(1/2)-1)/2)))/(y-10) = 0

((y+(41^(1/2)+1)/2)*(y-((41^(1/2)-1)/2)))/(y-10) = 0 // * y-10

(y+(41^(1/2)+1)/2)*(y-((41^(1/2)-1)/2)) = 0

( y+(41^(1/2)+1)/2 )

y+(41^(1/2)+1)/2 = 0 // - (41^(1/2)+1)/2

y = -((41^(1/2)+1)/2)

( y-((41^(1/2)-1)/2) )

y-((41^(1/2)-1)/2) = 0 // + (41^(1/2)-1)/2

y = (41^(1/2)-1)/2

y in { -((41^(1/2)+1)/2), (41^(1/2)-1)/2 }

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