y-3/y=9/10

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Solution for y-3/y=9/10 equation:


D( y )

y = 0

y = 0

y = 0

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

y-(3/y) = 9/10 // - 9/10

y-(3/y)-(9/10) = 0

y-3*y^-1-9/10 = 0

1*y^1-3*y^-1-9/10*y^0 = 0

(1*y^2-9/10*y^1-3*y^0)/(y^1) = 0 // * y^2

y^1*(1*y^2-9/10*y^1-3*y^0) = 0

y^1

y^2+(-9/10)*y-3 = 0

y^2+(-9/10)*y-3 = 0

DELTA = (-9/10)^2-(-3*1*4)

DELTA = 1281/100

DELTA > 0

y = ((1281/100)^(1/2)-(-9/10))/(1*2) or y = (-(-9/10)-(1281/100)^(1/2))/(1*2)

y = ((1281/100)^(1/2)+9/10)/2 or y = (9/10-(1281/100)^(1/2))/2

y in { (9/10-(1281/100)^(1/2))/2, ((1281/100)^(1/2)+9/10)/2}

y in { (9/10-(1281/100)^(1/2))/2, ((1281/100)^(1/2)+9/10)/2 }

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