x-10/x=9

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Solution for x-10/x=9 equation:


D( x )

x = 0

x = 0

x = 0

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

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

x-(10/x)-9 = 0

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

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

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

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

x^1

x^2-9*x-10 = 0

x^2-9*x-10 = 0

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

DELTA = 121

DELTA > 0

x = (121^(1/2)+9)/(1*2) or x = (9-121^(1/2))/(1*2)

x = 10 or x = -1

x in { -1, 10}

x in { -1, 10 }

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