(9/y)-(9/(y-10))-10=0

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Solution for (9/y)-(9/(y-10))-10=0 equation:


D( y )

y = 0

y-10 = 0

y = 0

y = 0

y-10 = 0

y-10 = 0

y-10 = 0 // + 10

y = 10

y in (-oo:0) U (0:10) U (10:+oo)

9/y-(9/(y-10))-10 = 0

9/y-9*(y-10)^-1-10 = 0

9/y-9/(y-10)-10 = 0

(-9*y)/(y*(y-10))+(9*(y-10))/(y*(y-10))+(-10*y*(y-10))/(y*(y-10)) = 0

9*(y-10)-10*y*(y-10)-9*y = 0

100*y-10*y^2-90 = 0

100*y-10*y^2-90 = 0

10*(10*y-y^2-9) = 0

10*y-y^2-9 = 0

DELTA = 10^2-(-9*(-1)*4)

DELTA = 64

DELTA > 0

y = (64^(1/2)-10)/(-1*2) or y = (-64^(1/2)-10)/(-1*2)

y = 1 or y = 9

10*(y-1)*(y-9) = 0

(10*(y-1)*(y-9))/(y*(y-10)) = 0

(10*(y-1)*(y-9))/(y*(y-10)) = 0 // * y*(y-10)

10*(y-1)*(y-9) = 0

( y-1 )

y-1 = 0 // + 1

y = 1

( y-9 )

y-9 = 0 // + 9

y = 9

y in { 1, 9 }

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