(y+6)/(y+4)=(y+7)/(y+5)+1

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Solution for (y+6)/(y+4)=(y+7)/(y+5)+1 equation:


D( y )

y+4 = 0

y+5 = 0

y+4 = 0

y+4 = 0

y+4 = 0 // - 4

y = -4

y+5 = 0

y+5 = 0

y+5 = 0 // - 5

y = -5

y in (-oo:-5) U (-5:-4) U (-4:+oo)

(y+6)/(y+4) = (y+7)/(y+5)+1 // - (y+7)/(y+5)+1

(y+6)/(y+4)-((y+7)/(y+5))-1 = 0

(y+6)/(y+4)+(-1*(y+7))/(y+5)-1 = 0

((y+6)*(y+5))/((y+4)*(y+5))+(-1*(y+7)*(y+4))/((y+4)*(y+5))+(-1*(y+4)*(y+5))/((y+4)*(y+5)) = 0

(y+6)*(y+5)-1*(y+7)*(y+4)-1*(y+4)*(y+5) = 0

2-y^2-9*y-20 = 0

-y^2-9*y-18 = 0

-y^2-9*y-18 = 0

-1*(y^2+9*y+18) = 0

y^2+9*y+18 = 0

DELTA = 9^2-(1*4*18)

DELTA = 9

DELTA > 0

y = (9^(1/2)-9)/(1*2) or y = (-9^(1/2)-9)/(1*2)

y = -3 or y = -6

-1*(y+6)*(y+3) = 0

(-1*(y+6)*(y+3))/((y+4)*(y+5)) = 0

(-1*(y+6)*(y+3))/((y+4)*(y+5)) = 0 // * (y+4)*(y+5)

-1*(y+6)*(y+3) = 0

( y+3 )

y+3 = 0 // - 3

y = -3

( y+6 )

y+6 = 0 // - 6

y = -6

y in { -3, -6 }

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