8/(9y-5)=3/4y

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Solution for 8/(9y-5)=3/4y equation: 


D( y )

9*y-5 = 0

9*y-5 = 0

9*y-5 = 0

9*y-5 = 0 // + 5

9*y = 5 // : 9

y = 5/9

y in (-oo:5/9) U (5/9:+oo)

8/(9*y-5) = (3/4)*y // - (3/4)*y

8/(9*y-5)-((3/4)*y) = 0

8/(9*y-5)+(-3/4)*y = 0

8/(9*y-5)+(-3*y)/4 = 0

(4*8)/(4*(9*y-5))+(-3*y*(9*y-5))/(4*(9*y-5)) = 0

4*8-3*y*(9*y-5) = 0

15*y-27*y^2+32 = 0

15*y-27*y^2+32 = 0

15*y-27*y^2+32 = 0

DELTA = 15^2-(-27*4*32)

DELTA = 3681

DELTA > 0

y = (3681^(1/2)-15)/(-27*2) or y = (-3681^(1/2)-15)/(-27*2)

y = (3*409^(1/2)-15)/(-54) or y = (-3*409^(1/2)-15)/(-54)

(y-((3*409^(1/2)-15)/(-54)))*(y-((-3*409^(1/2)-15)/(-54))) = 0

((y-((3*409^(1/2)-15)/(-54)))*(y-((-3*409^(1/2)-15)/(-54))))/(4*(9*y-5)) = 0

((y-((3*409^(1/2)-15)/(-54)))*(y-((-3*409^(1/2)-15)/(-54))))/(4*(9*y-5)) = 0 // * 4*(9*y-5)

(y-((3*409^(1/2)-15)/(-54)))*(y-((-3*409^(1/2)-15)/(-54))) = 0

( y-((-3*409^(1/2)-15)/(-54)) )

y-((-3*409^(1/2)-15)/(-54)) = 0 // + (-3*409^(1/2)-15)/(-54)

y = (-3*409^(1/2)-15)/(-54)

( y-((3*409^(1/2)-15)/(-54)) )

y-((3*409^(1/2)-15)/(-54)) = 0 // + (3*409^(1/2)-15)/(-54)

y = (3*409^(1/2)-15)/(-54)

y in { (-3*409^(1/2)-15)/(-54), (3*409^(1/2)-15)/(-54) }

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