x-3/x=9/10

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

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

DELTA = 1281/100

DELTA > 0

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

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

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

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

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